How to find the area of 3D shapes?

In most cases, you can consider a 2D slice of the shape. Find the area of the slice (for a cube it would be a square, for a cylinder it would be a circle). To find the area of the 3D shape, simply multiply by the length of the shape. Hope that helps!!

I think that's the volume, Dev. She asked for the total surface area.

Hi Alice, The total surface area of a 3D shape is found by totting up the areas of every single side! A cube therefore is the area of one side (e.g. side length 2cm, so area of one square face is 4 cm squared) x6. (In my example 6 x 4 = 24 square centimetres.). A cuboid is a bit harder as you may have 3 different dimensions. For a cuboid of 2x3x4 cm you have two pairs of parallel faces (bottom/top, left end/right end, front and back). So the area of this would be 2x (2x3) + 2 x (2x4) + 2 x (3 x4)= 12+16+24=52 cm squared. Hope this helps! Colin

The surface area of a 3D shape is the total area of all the faces. A cube has six faces which are all squares. There are six faces with the same area. The surface area of the cube is 6 × 25 = 150 cm 2 . The formula to calculate the total surface area of a cylinder is expressed as, total surface area of cylinder = 2πr(r + h). This total surface area includes the area of the 2 bases (2πr2) and the curved surface area (2πrh).

1. Cube Formula: Example: For a cube with side length of 3 units, Surface Area = square units. 2. Cuboid (Rectangular Prism) Formula: Example: For a cuboid with length 4 units, width 3 units, and height 2 units, Surface Area = square units. 3. Sphere Formula: Example: For a sphere with radius 5 units, Surface Area = square units (approx.). 4. Cylinder Formula: Where is the radius of the base, and is the height. Example: For a cylinder with radius 3 units and height 7 units, Surface Area = square units (approx.). 5. Cone Formula: Where is the radius of the base, and is the slant height. Example: For a cone with radius 4 units and slant height 6 units, Surface Area = square units (approx.). 6. Pyramid Formula: The surface area of a pyramid depends on the shape of the base. For a pyramid with a square base: \

When dealing with 3D shapes, you're often calculating the surface area rather than just the area, which includes all the faces of the shape. Here are the formulas for the surface area of common 3D shapes: 1. Cube: Surface Area=6s^2 where s is the length of a side. (A cube has 6 square faces.) 2. Rectangular Prism (or Box): Surface Area=2lw+2lh+2wh where l, w, and h are the length, width, and height of the prism. 3. Cylinder: Surface Area=2πr^2+2πrh where r is the radius of the base and h is the height. (The first term is for the two circular bases, and the second term is for the side, which is a rectangle when "unwrapped.") 4. Sphere: Surface Area=4πr^2 where r is the radius. 5. Cone: Surface Area=πr^2+πrl where r is the radius of the base and l is the slant height. (The first term is for the base, and the second term is for the curved surface.) 6. Pyramid: Surface Area=B+1/2×P×l where B is the area of the base, P is the perimeter of the base, and l is the slant height.

Hi Alice, Surface areas of cube and cuboid are straightforward, sum of areas all the faces . In case of a cube, it thas 6 faces which are squares. So, the surface area will be 6*side*side. For other shapes like cube, cones etc, there are two types of areas. First is the total surface area and the second is the curved/ lateral surface area.

For 3D shapes without curves - cuboid shapes or pyramids for example - add the areas of all the 2D shapes comprising the 3D shape. For 3D shapes with curves - cylinders, spheres, etc you will require formulas designed specifically for this. To find these, simply google it.

Find area of cube using 2(lw+wh+lh) And cylinder(2pir(r+h)h

To understand this without confusion you need to understand what area means in the first place. Area is the surface of a body/figure. 2D figures just have one surface, when it comes to 3D they have multiple surfaces. To find area here you have to consider all the surfaces/faces, like how you apply bread spread to all sides of bread, or how you paint all the walls in your room, (I dont want to be pedantic and talk about floor here, that in turn is a different story - but you get the idea!)

if youre talking about the surface area , then this means adding up all the areas of the 3d shapes faces , so for example cubes have 6 faces and all its faces are squares , the area of a square by itself is length times width then you multiply it by 6 bcz theyre all equal so a formula is build up like : 6LW (6 times length times width)

now for the cylinder well its a bit different cz the faces here are 2 circles ( why because one circle is the top face and one circle is the bottom face ) plus there is a curved face around .... so surface area here will be the sum of these faces : the area of one circle is found by using pi (r^2) that is pi (the constant known to be 3.14 or 22/7 or if a calculator is used then use the symbol on the calculator) then that will br multiplied by 2 cz there are 2 circular faces ... then for the curved part : its the length of the cylinder multiplied by the circumference so that is CL or 2 (pi )r times L then for total surface area , you add up all the answers ... if you need further help im ready to help ❤️❤️

The area of the shape is the area of the face multiplied by the length of the shape.

Base area x perpendicular height

Hi Alice Area is a 2D concept , not a 3D concept. There is no such thing as "the area of 3D shapes" , there is "the volume of a 3D shape". But there is one thing : the surface of a 3D shape is another shape that is 2D, so there is "the surface area of a 3d shape" because this surface is 2D. There is another 2D shapes resulting from the dissection of the 3D with some 2D surface plane, but this is out of the scope of this question. So, either the question of the homework is a tricky question to examine the understanding of the student, and i think so because of the form written in your question "the area of of 3D shapes" in general, and hence its answer should be my first answer, or it is just over simplified question that referencing the surface area of some specific 3D shapes such as cube or cylinder , which answer will be: 1. surface area of a cube is : 6 times the square of its side-length, because each side is square shaped. The law is A = 6*L^2 2. surface are of a cylinder is more compound , the cylinder composed of 3 shapes : 2 bases that are disk-shaped, and the area of a disk is π*r^2 where r is the radius of the base, so the total base area will be 2*π*r^2. the side of the cylinder (imagine unfolding it) is a rectangle with length equals the height of the cylinder (name it h), and width equal to the circumference of one base ,that is 2*π*r , and since the area of a rectangle is the product of its side-lengths , then the area of the side of the cylinder will be 2*π*r*h so the total surface area of a cylinder will be : area of the two bases + area of the cylinder side, that is A = 2*π*r^2 + 2*π*r*h Greetings Wael

Hey! So to calculate the surface area of the 3D shapes you need to know what are the faces of the shapes. Example: For the Total Surface Area of a cube we need to add up the area of 6 square surfaces. And that similar methods can be used for all other 3D objects. If you wanna learn more let me know we can help you get through this.

Finding the Area of a Cube Do you have a toy box at home? Let's imagine it's a cube. To find the surface area of a cube: 1. Write down the side length (how long one side is). 2. Use the formula: Surface Area = 6 × side × side (SA = 6a²) 3. Multiply and simplify. Example: Side length = 8m SA = 6 × 8m × 8m SA = 384m² Finding the Area of a Cylinder Imagine a soda can. A cylinder has: - Two circular bases (top and bottom) - A curved side To find the surface area of a cylinder: 1. Write down the radius (distance from center to edge) and height. 2. Use the formula: Total Surface Area = 2πr(h+r) 3. Multiply and simplify. Example: Radius = 4m, Height = 6m Total Surface Area = 2π × 4m × (6m + 4m) Total Surface Area = 2π × 4m × 10m Total Surface Area ≈ 251.327m² Remember: - Measure carefully. - Use the correct formula. - Simplify and solve. Now, try finding the surface area of different shapes around you! Do you want to: 1. Practice more examples? 2. Learn about volume? 3. Explore other shapes?

Hi, to find the area of shapes varies depanding on the shape. For a cube the formula would be 6 x a to the power of 2. a would represent the length of one side of the cube (all sides of a cube would be the same) For a cylinder it would be 2 x 3.14159 x r (r + h) r is the radius which is half the diameter of the cylinder and h is height of the cylinder.

Area of a cube Length * breadth * height Area of a cylinder 2Pie R * height + 2 Pie R square

A cube is just a square with another side so the volume of a cub is the base x width x height. A cylinder can be seen as a circle stacked on top of itself. So the volume is the area of the circle (πr^2) x height.

Surface Area of a Cube For a cube with side length a: Surface Area=6×a^2 There are six faces of cube, we multiply the area of one face (a^2) by 6. Surface Area of a Cylinder Surface Area=2πr^2+2πrh where r is the radius and h is the height of the cylinder. 2πr^2 represents the area of the two circular bases. 2πrh is the area of the curved surface.

3D shapes don't have area but they have surface area. The surface area of a 3D shape is the area that's surrounding the shape. For example, a cube has 6 faces on it. If we calculate the area of each face and multiply it by 6, we get the total surface area of the cube. For a sphere, we use the formula Surface Area = 4 x pi x r^2, where r = radius. For a cylinder, we use the formula Surface Area = (2 x pi x r)(h + r), where r = radius and h = height.

The easy and simple way to calculate the area of a 3D shapes is, The surface area of a 3D shape is the total area of all its faces. × area of base × vertical height.

By multiply its hight, length, width

Calculating the area of shapes is very important, but the shape has its own law, and through some good explanation these laws can be linked so that they become interconnected in the child’s mind. For example, the area of a cube is equal to any product of its three dimensions. Do not hesitate to ask for help, you have a free hour.

Volume of 3D shapes follow the principle of base area x height. For simplicity the base is selected as the shape that is uniform (the same) in the direction of the height In the cases of cube and cuboid, base area can be taken as any of the 2 sides Hence for a cube Volume = s x s x s = s ^3 (s is length of side) base area being s x s and height s For a cuboid Volume = l x b x h (l = length, b = breadth/ width and h = height) Base area can be any of the two sides denoted by l x b while the 3rd side is the height For the cylinder, the circle base is uniform in the perpendicular direction to the base i. e. Standing on it's circular base, if you cut through the cylinder at any height, you'd see a circle of the same size Hence, the volume is area of the circle x height Area of circle is (π x r^2) π = 22/7 and r is radius of circle Volume of cylinder= π x r^2 x h where h is height of cylinder For a cone, the volume of a cylinder is reduced by a third I e. (1/3) x π x r^2 x h For a sphere, Volume = (4/3) x π x r^3 Complex 3D shapes can be reduced to any of these shapes or a fraction of them and the volume calculated by a sum of the volume of the parts that make up the complex shape However, in calculating surface area of 3D shapes, the shapes are reduced to common shapes of squares, rectangles, circles, triangles etc Surface area of Cylinder = 2πr^2 + 2πrh = 2πr(r + h) which is the area of 2 circles (top and bottom) and the curved side of the cylinder Cube = 6s^2 (all the sides are equal, s is the length of side) and a cube has 6 faces Cuboid = 2 x (lb + lh + bh) where l = length, b = breadth and h = height Sphere = 4 x π x r^2

The surface area of a three dimensional shape is the total area of all of the faces. To find the surface area of a shape, we find the area of each face and add them together. 3D Shape Total Surface Area (TSA) Cuboid 2 (lw + wh + lh) Cone πr(r + l) Cylinder 2πr(r + h) Sphere 4πr2, where r is the radius of the sphere

For cubes its base x height x width and the word for area in 3D shapes is volume For cylinders its pi x r squared x h this would need a calculator unless it requires it in terms of pi Hope this helped

Hello Alice, I’ll guide you through the essential formulae for 3D shapes. For a cube, the volume is V = s³, and the surface area is A = 6s² (where s is the side length). For a rectangular prism, the volume is V = lwh, and the surface area is A = 2(lw + lh + wh) (l = length, w = width, h = height). A cylinder has the volume V = πr²h, and the surface area A = 2πr(h + r) (r = radius, h = height). For a sphere, the volume is V = ⁴⁄₃πr³, and the surface area is A = 4πr². A cone has the volume V = ⅓πr²h, and the surface area A = πr(r + l), where l is the slant height. Lastly, for a pyramid, the volume is V = ⅓Bh, where B is the base area, and the surface area depends on the shape of the base and slant height. Through these formulae, I’ll help you master 3D geometry step by step.

I’d be happy to help! For 3D shapes, we actually calculate surface area, which is the total area of all the faces of the shape. Here are the formulas for a couple of common 3D shapes: Cube: Surface Area = 6 × side raised to 2 (since all six faces are squares of equal size). Cylinder: Surface Area = 2 × 𝜋 x radius raised to 2+ (top and bottom) + 2 × 𝜋 × radius × height (side or curved surface). If your son needs more examples or explanations, I’d be glad to help. I love making math easier and fun to understand!

For 3 shapes examples of areas are Cuboid 2(l+b+h)llength,bbase height Conepir(r+h) Cylinder 2pir(r+h,) Sphere 4pirraised to power 2 pi 22-7

First, you need to figure out area evey single side of the 3D structure and then add them up. Except for sphere and cone. There are formula. Sphere 4pi*r² cone pi*r(r+l)

3D shapes are a combination of simple plane(2D) shapes. For example, a cylinder is made of two circles at the top and bottom and a rectangle curved around and connecting the the top and bottom circles. Therefore, you have got sum of 3 shapes which is why its basically called total surface areas. Following this explanation makes the total surface areas of; cylinder= 2πr(r + h); where r is the radius of the circle and h is the height of the cylinder Cube has got six square sides all locked together Area of each square = L^2 where L is the length of each side Total surface area of a cube = 6xLxL(6L^2) I hope this helps

Length * width* height

Area of a cy 22/7 r^2 cu L X L X L= L^3

Find the are of each face then add them together