Volume of Rectangular Prisms

Front

What is the formula for finding the volume of a rectangular prism?

Back

Volume = length × width × height

Front

If a rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm, what is its volume?

Back

Volume = 5 cm × 3 cm × 4 cm = 60 cm³

Front

What units are used to measure volume?

Back

Cubic centimeters (cm³), cubic meters (m³), liters (L), etc.

Front

How does changing the height of a rectangular prism affect its volume?

Back

Increasing the height increases the volume, while decreasing the height decreases the volume.

Front

What is the volume of a rectangular prism with a base area of 10 cm² and a height of 5 cm?

Back

Volume = base area × height = 10 cm² × 5 cm = 50 cm³

Front

If the dimensions of a rectangular prism are doubled, how does the volume change?

Back

The volume increases by a factor of 8 (2³) because volume is proportional to the cube of the dimensions.

Front

What is the volume of a rectangular prism with a length of 7 cm, width of 2 cm, and height of 3 cm?

Back

Volume = 7 cm × 2 cm × 3 cm = 42 cm³

Front

A box has a volume of 100 cm³. If the height is 5 cm, what is the area of the base?

Back

Area of base = Volume / height = 100 cm³ / 5 cm = 20 cm²

Front

What is the volume of a rectangular prism with dimensions 8 cm, 4 cm, and 2 cm?

Back

Volume = 8 cm × 4 cm × 2 cm = 64 cm³

Front

If a rectangular prism has a volume of 120 cm³ and a base area of 15 cm², what is the height?

Back

Height = Volume / base area = 120 cm³ / 15 cm² = 8 cm