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 \( V \) of a rectangular prism, you can use the formula:

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

Given:

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

Now calculate the volume:

\[
V = 423 \times 212 \times 313
\]

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

\[
423 \times 212 = 89796
\]

Now multiply by the height:

\[
89796 \times 313 = 28,097,988
\]

Now to express this in mixed number form. Since \( 28,097,988 \) is a whole number, it does not have a fractional part. In mixed number form, it is simply:

\[
28,097,988 \text{ ft}^3
\]

Therefore, the volume of the rectangular prism is:

\[
\boxed{28,097,988 \text{ ft}^3}
\]