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

1 answer

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:

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