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

1 answer

To find the length 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 the volume (90), width (3), and height (5), we can rearrange the formula to solve for length:

\[ \text{Length} = \frac{\text{Volume}}{\text{Width} \times \text{Height}} \]

Substituting the known values:

\[ \text{Length} = \frac{90}{3 \times 5} \]

Calculating the width times height:

\[ 3 \times 5 = 15 \]

Now substitute back into the equation:

\[ \text{Length} = \frac{90}{15} = 6 \]

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