Volume of Rectangular Prisms

Front

What is the formula to calculate the volume of a rectangular prism?

Back

Volume = Length × Width × Height

Front

If a rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 2 cm, what is its volume?

Back

Volume = 10 cm × 5 cm × 2 cm = 100 cm³

Front

What units are used to measure volume?

Back

Common units for volume include cubic centimeters (cm³), cubic meters (m³), and liters (L).

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, assuming length and width remain constant.

Front

What is the volume of a fish tank that is 45 cm long, 25 cm wide, and 10 cm deep?

Back

Volume = 45 cm × 25 cm × 10 cm = 11250 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, because Volume = (2L) × (2W) × (2H) = 8 × (L × W × H).

Front

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

Back

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

Front

If a box has a volume of 500 cm³ and a height of 5 cm, what is the area of the base?

Back

Area of the base = Volume ÷ Height = 500 cm³ ÷ 5 cm = 100 cm².

Front

What is the volume of a rectangular prism with a length of 12 m, a width of 4 m, and a height of 3 m?

Back

Volume = 12 m × 4 m × 3 m = 144 m³.

Front

What happens to the volume of a rectangular prism if the width is halved?

Back

The volume is also halved, assuming length and height remain constant.