Volume and Dimensions of Boxes

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, which is the product of length, width, and height. The tutorial also demonstrates finding the side length of a cube by taking the cube root of the volume. Each example involves substituting known values into the formula and solving for the unknown dimension.

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

• Height = Volume / Length

• Height = Volume x Width

• Height = Volume / (Length x Width)

• Height = Volume x Length x Width

If a box has a volume of 80 cm³, a length of 10 cm, and a width of 4 cm, what is its height?

• 1 cm

• 2 cm

• 3 cm

• 4 cm

How do you calculate the width when the volume, length, and height are given?

• Width = Volume / (Length x Height)

• Width = Volume x Length x Height

• Width = Volume / Length

• Width = Volume x Height

A box has a volume of 144 cm³, a length of 6 cm, and a height of 8 cm. What is the width?

• 5 cm

• 4 cm

• 3 cm

• 2 cm

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

• Length = Volume / Width

• Length = Volume x Height

• Length = Volume / (Width x Height)

• Length = Volume x Width x Height

If a box has a volume of 480 cm³, a width of 6 cm, and a height of 4 cm, what is its length?

• 27 cm

• 30 cm

• 20 cm

• 25 cm

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

• Side length = Volume x 3

• Side length = Volume squared

• Side length = Cube root of Volume

• Side length = Volume / 3

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

• 10 cm

• 11 cm

• 8 cm

• 9 cm

What operation is used to find the side length of a cube from its volume?

• Division

• Multiplication

• Cube root

• Square root

If the volume of a cube is 1,000 cm³, what is the cube root of this volume?

• 9

• 10

• 12

• 11