Question

What is the length of a rectangular prism with a volume of 90, width of 3, and height of 5? *Hint: Don't forget to use your Desmos calculator and STAAR Reference Sheet to help! (1 point)

Answer 1

To find the length of a rectangular prism when you know the volume, width, and height, you can use the formula for the volume of a rectangular prism:

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

where:
- \(V\) is the volume,
- \(l\) is the length,
- \(w\) is the width,
- \(h\) is the height.

In this case, you have the following values:
- Volume \(V = 90\)
- Width \(w = 3\)
- Height \(h = 5\)

You need to solve for \(l\):

\[
90 = l \times 3 \times 5
\]

First, calculate \(3 \times 5\):

\[
3 \times 5 = 15
\]

So, you can rewrite the equation as:

\[
90 = l \times 15
\]

To find \(l\), divide both sides by 15:

\[
l = \frac{90}{15}
\]

Calculating this gives:

\[
l = 6
\]

Thus, the length of the rectangular prism is \(6\).