Question

The volume of a rectangular prism is 6,142.5 cm3. If the height is 16.25 cm and the length is 28 cm, what is the value of the width?

13.125 cm

13.25 cm

13.5 cm

13.75 cm

Points earned on this question: 2

Answer 1

To find the width of a rectangular prism, you can use the formula for the volume of a rectangular prism:

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

Given:
- Volume = 6,142.5 cm³
- Length = 28 cm
- Height = 16.25 cm

We can rearrange the formula to solve for width:

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

Now, plug in the given values:

\[
\text{width} = \frac{6,142.5 \, \text{cm}^3}{28 \, \text{cm} \times 16.25 \, \text{cm}}
\]

Calculate the denominator:

\[
28 \, \text{cm} \times 16.25 \, \text{cm} = 455 \, \text{cm}^2
\]

Now divide the volume by the product of length and height:

\[
\text{width} = \frac{6,142.5 \, \text{cm}^3}{455 \, \text{cm}^2} \approx 13.5 \, \text{cm}
\]

Thus, the value of the width is approximately **13.5 cm**.