Question

Eli just bought a new fish tank for his bedroom! It is a rectangular prism that is 12 inches long and 8 inches wide. The volume of the tank is 600 cubic inches. How tall is it?
Write your answer as a whole number or decimal.
inches

Answer 1

To find the height of the fish tank, we can use the formula for the volume of a rectangular prism, which is:

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

From the problem, we know:
- Volume = 600 cubic inches
- Length = 12 inches
- Width = 8 inches

We need to find the height (h). Plugging in the known values into the formula gives us:

\[
600 = 12 \times 8 \times h
\]

Now, calculate \( 12 \times 8 \):

\[
12 \times 8 = 96
\]

Thus, the equation becomes:

\[
600 = 96 \times h
\]

To find \( h \), we can divide both sides by 96:

\[
h = \frac{600}{96}
\]

Now, simplifying \( \frac{600}{96} \):

\[
h = 6.25
\]

So, the height of the fish tank is:

\[
\boxed{6.25} \text{ inches}
\]