Question

rectangular prism has a volume of 104 cubic inches. The prism has a height of 2 inches and a width of 4 inches.

What is the length of the prism?

Enter your answer in the box.

Answer 1

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

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

We know the volume (104 cubic inches), height (2 inches), and width (4 inches). We can rearrange the formula to solve for the length:

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

Now, substitute the values:

\[
\text{Length} = \frac{104}{2 \times 4}
\]

Calculating the denominator:

\[
2 \times 4 = 8
\]

Now substitute back into the equation:

\[
\text{Length} = \frac{104}{8} = 13
\]

Thus, the length of the prism is \( \boxed{13} \) inches.