Applying the formula V=B×h , what is the volume of a rectangular prism with a length of 1115 in., a width of 912 in., and a height of 812 in.?(1 point) Responses 90425in.3 904 Start Fraction 2 over 5 end fraction in cubed 96,228425in.3 96,228 Start Fraction 4 over 25 end fraction in cubed 2915in.3 29 Start Fraction 1 over 5 end fraction in cubed 10625in.3

1 answer

To find the volume \( V \) of a rectangular prism, we use the formula:

\[ V = B \times h \]

where \( B \) is the area of the base and \( h \) is the height. For a rectangular prism, the area of the base \( B \) can be calculated as:

\[ B = \text{length} \times \text{width} \]

Given:

  • Length = 1115 in.
  • Width = 912 in.
  • Height = 812 in.

First, calculate the area of the base \( B \):

\[ B = 1115 , \text{in} \times 912 , \text{in} = 1,016,280 , \text{in}^2 \]

Now, multiply the area of the base by the height to find the volume:

\[ V = 1,016,280 , \text{in}^2 \times 812 , \text{in} \]

\[ V = 825,074,560 , \text{in}^3 \]

So the volume of the rectangular prism is 825,074,560 in³.

Since this value does not appear in the provided options, it seems there may have been a mistake in the options or in the volume calculation itself. However, based on the calculations, the correct volume is \( 825,074,560 , \text{in}^3 \).