Volume of Rectangular Prisms and Cubes

Front

What is the formula for calculating the volume of a cube?

Back

The volume of a cube is calculated using the formula V = s³, where s is the length of a side.

Front

If a cube has a side length of 5 units, what is its volume?

Back

125 cubic units (5³ = 125).

Front

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

Back

The volume of a rectangular prism is calculated using the formula V = l × w × h, where l is the length, w is the width, and h is the height.

Front

How do you find the volume of a prism with a triangular base?

Back

To find the volume of a triangular prism, use the formula V = (1/2 × base × height of triangle) × height of prism.

Front

What is the volume of a rectangular prism with dimensions 4 ft, 5 ft, and 6 ft?

Back

120 cubic feet (4 × 5 × 6 = 120).

Front

What units are used to express volume?

Back

Volume is typically expressed in cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic feet (ft³).

Front

What is the volume of a cube with a side length of 10 units?

Back

1000 cubic units (10³ = 1000).

Front

If a rectangular prism has a volume of 240 cubic cm and a height of 10 cm, what is the area of the base?

Back

24 square cm (Volume = base area × height; 240 = base area × 10).

Front

What is the relationship between the volume of a cube and its side length?

Back

The volume of a cube increases with the cube of its side length; doubling the side length increases the volume by a factor of eight.

Front

How do you convert cubic centimeters to cubic meters?

Back

To convert cubic centimeters to cubic meters, divide by 1,000,000 (1 m³ = 1,000,000 cm³).