Surface Area of Prisms, Cylinders, Pyramids, and Cones

Front

What is the formula for the surface area of a rectangular prism?

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Front

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

Back

Surface Area = 2πr(h + r), where r = radius, h = height.

Front

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

Back

Surface Area = Base Area + (1/2) * Perimeter * Slant Height.

Front

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

Back

Surface Area = πr(r + l), where r = radius, l = slant height.

Front

What is lateral area?

Back

Lateral Area is the surface area of the sides of a 3D shape, excluding the base(s).

Front

How do you find the surface area of a cylinder?

Back

Calculate the area of the two circular bases and the lateral area, then add them together.

Front

What is the surface area of a cube with side length 4 cm?

Back

Surface Area = 6 * (side length)^2 = 6 * 4^2 = 96 cm².

Front

If a rectangular prism has dimensions 3 cm, 4 cm, and 5 cm, what is its surface area?

Back

Surface Area = 2(3*4 + 3*5 + 4*5) = 2(12 + 15 + 20) = 2(47) = 94 cm².

Front

What is the surface area of a cone with a radius of 3 cm and a height of 4 cm?

Back

First, find the slant height using Pythagorean theorem: l = √(r² + h²) = √(3² + 4²) = 5 cm. Then, Surface Area = πr(r + l) = π*3*(3 + 5) = 24π cm².

Front

What is the surface area of a cylinder with a radius of 2 cm and a height of 5 cm?

Back

Surface Area = 2πr(h + r) = 2π*2*(5 + 2) = 28π cm².