Volume and Dimensions of Prisms

The video tutorial explains how to find missing dimensions of a rectangular prism and a cube when given the volume. It covers calculating the height, width, and length using the formula for volume. The tutorial also demonstrates finding the side length of a cube by taking the cube root of the volume.

If a rectangular prism has a volume of 80 cm³, a length of 10 cm, and a width of 4 cm, what is the height?

• 1 cm

• 2 cm

• 3 cm

• 4 cm

What is the formula to find the height of a rectangular prism when the volume, length, and width are known?

• Height = Volume × Length × Width

• Height = Volume ÷ (Length × Width)

• Height = Volume ÷ Length

• Height = Volume ÷ Width

Given a volume of 144 cm³, a length of 6 cm, and a height of 8 cm, what is the width of the rectangular prism?

• 2 cm

• 3 cm

• 5 cm

• 4 cm

How do you calculate the width of a rectangular prism if the volume, length, and height are known?

• Width = Volume × Length × Height

• Width = Volume ÷ (Length × Height)

• Width = Volume ÷ Length

• Width = Volume ÷ Height

If a rectangular prism has a volume of 480 cm³, a width of 6 cm, and a height of 4 cm, what is the length?

• 30 cm

• 27 cm

• 25 cm

• 20 cm

What is the formula to find the length of a rectangular prism when the volume, width, and height are known?

• Length = Volume ÷ (Width × Height)

• Length = Volume ÷ Height

• Length = Volume × Width × Height

• Length = Volume ÷ Width

A cube has a volume of 1,000 cm³. What is the length of one side of the cube?

• 11 cm

• 10 cm

• 8 cm

• 9 cm

How do you find the side length of a cube if the volume is known?

• Side length = Volume squared

• Side length = Volume × 3

• Side length = Volume ÷ 3

• Side length = Cube root of Volume

What is the cube root of 1,000?

• 9

• 8

• 11

• 10

If the volume of a cube is given, which mathematical operation helps find the side length?

• Multiplication

• Cube root

• Division

• Square root