Question

What is the volume of a rectangular prism with a length of 423 ft., a height of 313 ft., and a width of 212 ft.? Your answer should be written as a mixed number.(1 point)
ft.3

Answer 1

To find the volume of a rectangular prism, you can use the formula:

\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]

In this case, the dimensions are:

- Length = 423 ft
- Width = 212 ft
- Height = 313 ft

Now, substitute the values into the formula:

\[
\text{Volume} = 423 \times 212 \times 313
\]

Calculating this step-by-step:

1. First, calculate \(423 \times 212\):

\[
423 \times 212 = 89676
\]

2. Next, multiply this result by 313:

\[
89676 \times 313 = 28013588
\]

Thus, the volume is:

\[
\text{Volume} = 28013588 \text{ ft}^3
\]

Next, to convert this to a mixed number format, we'll first find if it can be expressed as a fraction.

Since \(28013588\) is an integer (it has no fractional part), we can express it as:

\[
28013588 = 28013588 \frac{0}{1}
\]

Thus, as a mixed number, we have:

\[
28013588 \text{ ft}^3
\]

Therefore, the volume of the rectangular prism is:

\[
28013588 \text{ ft}^3
\]

In summary, the final answer is:

\[
28013588 \text{ ft}^3
\]