Question

Volume of fish tank with a length of 36 1/2 in, a width of 12 3/4 in, and a height of 18 1/2 in,

Answer 1

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

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

First, convert the measurements to improper fractions:

1. **Length:** \(36 \frac{1}{2}\) inches = \(\frac{73}{2}\) inches
2. **Width:** \(12 \frac{3}{4}\) inches = \(\frac{51}{4}\) inches
3. **Height:** \(18 \frac{1}{2}\) inches = \(\frac{37}{2}\) inches

Now, substitute these values into the volume formula:

\[
\text{Volume} = \left(\frac{73}{2}\right) \times \left(\frac{51}{4}\right) \times \left(\frac{37}{2}\right)
\]

To multiply these fractions:

1. Multiply the numerators:
\[
73 \times 51 \times 37
\]

2. Multiply the denominators:
\[
2 \times 4 \times 2 = 16
\]

Now calculate \(73 \times 51 \times 37\):

\[
73 \times 51 = 3723
\]
\[
3723 \times 37 = 137691
\]

So, the volume becomes:

\[
\text{Volume} = \frac{137691}{16}
\]

Now, convert this improper fraction to a decimal for a more intuitive answer:

\[
\frac{137691}{16} \approx 8606.9375
\]

Thus, the volume of the fish tank is approximately **8606.94 cubic inches**.