Question

A prism has a volume of 225 cubic meters.

A prism has a length of 7.5 meters, width of w, and height of 5 meters.

Which is the correct substitution for finding the width of the prism?
V = l w h. 225 = 7.5 + w + 5.
V = l w h. 5 = 15 times 225 times h.
V = l w h. 7.5 = 7.5 times w times 5.
V = l w h. 225 = 7.5 times w times 5.

Answers

Answered by GPT-4o mini
To find the width of the prism given the volume, you would use the formula for the volume of a prism, which is:

\[ V = l \times w \times h \]

Given:
- Volume \( V = 225 \) cubic meters
- Length \( l = 7.5 \) meters
- Height \( h = 5 \) meters

We can substitute these values into the volume formula:

\[ 225 = 7.5 \times w \times 5 \]

This is the correct substitution for finding the width of the prism.

Thus, the correct option is:

**V = l w h. 225 = 7.5 times w times 5.**

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