Question

What is the length of a right rectangular prism with a volume of 90, width of 3, and height of 5

1 answer

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

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

In this case, we know the volume (90), width (3), and height (5). We can set up the equation:

\[ 90 = \text{length} \times 3 \times 5 \]

Now, we can simplify the equation. First, calculate \(3 \times 5\):

\[ 3 \times 5 = 15 \]

Now we have:

\[ 90 = \text{length} \times 15 \]

To find the length, divide both sides by 15:

\[ \text{length} = \frac{90}{15} \]

Calculating that gives:

\[ \text{length} = 6 \]

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