3D Shapes Surface Area and Volume

Front

What is the formula for the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

Define surface area.

Back

Surface area is the total area that the surface of a three-dimensional object occupies.

Front

What is the formula for the surface area of a sphere?

Back

Surface Area = 4πr², where r is the radius.

Front

How do you calculate the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height.

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the surface area of a cube?

Back

Surface Area = 6a², where a is the length of a side.

Front

Calculate the surface area of a rectangular prism with length 5m, width 3m, and height 4m.

Back

Surface Area = 2(lw + lh + wh) = 2(5*3 + 5*4 + 3*4) = 2(15 + 20 + 12) = 2(47) = 94 m².

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

Define lateral surface area.

Back

Lateral surface area is the area of the sides of a three-dimensional object, excluding the top and bottom.

Front

What is the surface area of a cylinder with a radius of 3m and height of 5m?

Back

Surface Area = 2πr(h + r) = 2π(3)(5 + 3) = 2π(3)(8) = 48π ≈ 150.8 m².