Volume of rectangular prisms

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: Volume = length × width × height.

Front

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

Back

The volume is 5 cm × 4 cm × 3 cm = 60 cm³.

Front

What units are commonly used to express the volume of rectangular prisms?

Back

Common units for volume include cubic centimeters (cm³), cubic inches (in³), cubic feet (ft³), and cubic meters (m³).

Front

How do you convert cubic inches to cubic centimeters?

Back

To convert cubic inches to cubic centimeters, multiply the volume in cubic inches by 16.387.

Front

What is the volume of a rectangular prism with dimensions 10 in × 5 in × 4 in?

Back

The volume is 10 in × 5 in × 4 in = 200 in³.

Front

If the volume of a rectangular prism is 500 cm³ and the height is 10 cm, what is the area of the base?

Back

The area of the base can be found using the formula: Area = Volume / height. So, Area = 500 cm³ / 10 cm = 50 cm².

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

How do you find the volume of a rectangular prism when given only the area of the base and the height?

Back

Use the formula: Volume = Area of base × height.

Front

What is the volume of a rectangular prism with a base area of 30 cm² and a height of 5 cm?

Back

The volume is 30 cm² × 5 cm = 150 cm³.

Front

If a rectangular prism has a volume of 1,000 m³ and a height of 4 m, what is the area of the base?

Back

Area of the base = Volume / height = 1,000 m³ / 4 m = 250 m².