Question

Hakeem is building a box in the shape of a right rectangular prism to store his toys.
It has a volume of 162,000 cubic centimeters. What is the width of the box if the height is 40 cm and the length is 90 cm? (1 point)
• 45 cm
• 40 cm
• 15 cm
• 158,400 cm

Answer 1

To find the width of the box, we can use the formula for the volume of a right rectangular prism:

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

We know:

- Volume = 162,000 cm³
- Length = 90 cm
- Height = 40 cm

We can rearrange the volume formula to solve for the width:

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

Substituting the known values:

\[
\text{Width} = \frac{162,000}{90 \times 40}
\]

First, calculate \(90 \times 40\):

\[
90 \times 40 = 3600
\]

Now, we can compute the width:

\[
\text{Width} = \frac{162,000}{3600}
\]

Now, performing the division:

\[
\text{Width} = 45
\]

Thus, the width of the box is **45 cm**.