A box has a volume of 100 in³. If height = 5 in and width = 4 in, what is the length?

A box has a volume of 100 in³. If height = 5 in and width = 4 in, what is the length?

• A. 6
• B. 5.0
• C. 4
• D. 3

Answer: (B)

To find the length of the box, you can use the formula for the volume of a rectangular prism, which is given by: \[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \] In this case, the volume is given as 100 in³, the height is 5 in, and the width is 4 in. You can rearrange the formula to solve for the length: \[ \text{Length} = \frac{\text{Volume}}{\text{Width} \times \text{Height}} \] Substituting the known values into the formula gives: \[ \text{Length} = \frac{100}{4 \times 5} \] Calculating the width times height: \[ 4 \times 5 = 20 \] Then substituting this back into the fraction: \[ \text{Length} = \frac{100}{20} = 5 \] Thus, the length of the box is 5 inches. This value matches the provided answer choice, indicating that it is the correct length based on the dimensions and volume provided.

To find the length of the box, you can use the formula for the volume of a rectangular prism, which is given by:

[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} ]

In this case, the volume is given as 100 in³, the height is 5 in, and the width is 4 in. You can rearrange the formula to solve for the length:

[ \text{Length} = \frac{\text{Volume}}{\text{Width} \times \text{Height}} ]

Substituting the known values into the formula gives:

[ \text{Length} = \frac{100}{4 \times 5} ]

Calculating the width times height:

[ 4 \times 5 = 20 ]

Then substituting this back into the fraction:

[ \text{Length} = \frac{100}{20} = 5 ]

Thus, the length of the box is 5 inches. This value matches the provided answer choice, indicating that it is the correct length based on the dimensions and volume provided.