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)

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

\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]

Given:

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

We can rearrange the formula to solve for the width:

\[ \text{width} = \frac{\text{Volume}}{\text{length} \times \text{height}} \]

Substituting the given values:

\[ \text{width} = \frac{162,000 \text{ cm}^3}{90 \text{ cm} \times 40 \text{ cm}} \]

Calculating the denominator:

\[ 90 \text{ cm} \times 40 \text{ cm} = 3600 \text{ cm}^2 \]

Now substituting this back into the equation for width:

\[ \text{width} = \frac{162,000 \text{ cm}^3}{3600 \text{ cm}^2} = 45 \text{ cm} \]

Therefore, the width of the box is 45 cm.