Volume

Front

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

Back

Volume = length × width × height.

Front

If a rectangular prism has a base area of 26 cm² and a height of 5 cm, how do you calculate its volume?

Back

Multiply the base area by the height: Volume = base area × height = 26 cm² × 5 cm = 130 cm³.

Front

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

Back

Use the formula: height = volume / base area.

Front

What is the volume of a rectangular prism with dimensions 2 ft, 4 ft, and 6 ft?

Back

Volume = 2 ft × 4 ft × 6 ft = 48 cubic feet.

Front

What is the volume of a rectangular prism with a length of 3 ft, width of 5 ft, and height of 3 ft?

Back

Volume = 3 ft × 5 ft × 3 ft = 45 cubic feet.

Front

If Jim's box has a volume of 48 cubic feet and Paul's box has a volume of 45 cubic feet, how much more can Jim's box hold?

Back

Jim's box can hold 3 cubic feet more than Paul's box.

Front

What is the significance of the base area in calculating the volume of a prism?

Back

The base area is essential as it represents the area of the base that is extended vertically by the height to determine the volume.

Front

What units are used to express volume?

Back

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

Front

How do you convert the volume from cubic centimeters to cubic meters?

Back

To convert cm³ to m³, divide the volume in cm³ by 1,000,000 (1 m³ = 1,000,000 cm³).

Front

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

Back

The volume is directly proportional to the product of its length, width, and height; increasing any dimension increases the volume.