Volume of Rectangular Prisms

Front

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

Back

The volume, V, 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

If a rectangular prism has a length of 4 units, a width of 3 units, and a height of 2 units, what is its volume?

Back

The volume is 4 × 3 × 2 = 24 cubic units.

Front

What are the dimensions of a cube with a volume of 27 cubic units?

Back

Each side of the cube measures 3 units, since 3 × 3 × 3 = 27.

Front

How do you find the volume of a rectangular prism with fractional dimensions?

Back

Multiply the length, width, and height, even if they are fractions. For example, if l = 1.5, w = 2, and h = 3, then V = 1.5 × 2 × 3 = 9 cubic units.

Front

What is the volume of a rectangular prism with a length of 5 cm, a width of 4 cm, and a height of 3 cm?

Back

The volume is 5 × 4 × 3 = 60 cubic centimeters.

Front

If the volume of a rectangular prism is 36 cubic inches and the height is 3 inches, what is the area of the base?

Back

The area of the base is 36 ÷ 3 = 12 square inches.

Front

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

Back

The volume is directly proportional to the product of its dimensions (length, width, height). Changing any dimension will change the volume.

Front

Can a rectangular prism have a volume of 0? If so, how?

Back

Yes, if any dimension (length, width, or height) is 0, the volume will be 0, since V = l × w × h.

Front

What is the volume of a rectangular prism with dimensions 1 unit, 1 unit, and 1 unit?

Back

The volume is 1 × 1 × 1 = 1 cubic unit.

Front

If a rectangular prism has a volume of 48 cubic units and a height of 4 units, what is the area of the base?

Back

The area of the base is 48 ÷ 4 = 12 square units.