Volume and Surface Area Word Problems

Front

What is Volume?

Back

Volume tells us how many given cubic units it takes to fill a given space.

Front

What is Surface Area?

Back

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

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

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

Back

Surface Area = 2(length × width + length × height + width × height).

Front

What is the volume of a pool that is 40 ft long, 20 ft wide, and 12 ft high?

Back

9600 cubic feet.

Front

How do you find the surface area of a pyramid?

Back

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

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height.

Front

How do you calculate the surface area of a cylinder?

Back

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

Front

What is the surface area of a box that requires 302 squared cm of wrapping paper?

Back

302 squared cm.

Front

What is the height of a triangle if its area is 30 square meters and the base is 6 meters?

Back

Height = (2 × Area) / Base = (2 × 30) / 6 = 10 meters.