Volume Word Problems (M5 L7)

Front

What is volume?

Back

Volume is the amount of space that a three-dimensional object occupies, measured in cubic units.

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

If a rectangular prism has a volume of 96 cubic inches and a height of 6 inches, what is the area of the base?

Back

Area of the base = Volume ÷ Height = 96 ÷ 6 = 16 square inches.

Front

What is a rectangular prism?

Back

A rectangular prism is a three-dimensional shape with six rectangular faces, where opposite faces are equal.

Front

What units are used to measure volume?

Back

Volume is typically measured in cubic units, such as cubic inches (in³), cubic feet (ft³), or liters.

Front

If the base of a rectangular prism is 4 inches by 4 inches, what is its volume if the height is 5 inches?

Back

Volume = 4 × 4 × 5 = 80 cubic inches.

Front

What does it mean if a shape has a volume of 0?

Back

A volume of 0 means that the shape does not occupy any space, which can occur if the dimensions are all zero.

Front

How can you find the height of a rectangular prism if you know the volume and the area of the base?

Back

Height = Volume ÷ Area of the base.

Front

What is the relationship between the volume and the dimensions of a rectangular prism?

Back

The volume is directly proportional to the product of its length, width, and height.

Front

If a cube has a volume of 27 cubic inches, what is the length of one side?

Back

Length of one side = cube root of volume = 3 inches.