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, which is given by:

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

In this case, the volume is 90, the width is 3, and the height is 5. We can rearrange the formula to solve for the length:

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

Substituting the values into the formula:

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

Calculating the denominator:

\[ 3 \times 5 = 15 \]

Now, substituting back into the equation:

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

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