What is the volume of a moving truck with the following measurements: 9910

ft. long, 6110
ft. high, and 6910
ft. wide? Apply the volume formula for a rectangular prism to solve. (1 point)
Responses

6914161,000ft.3
691 start fraction 416 over 1,000 end fraction ft cubed

4166911,000ft.3
416 start fraction 691 over 1,000 end fraction ft cubed

22910ft.3
22 start fraction 9 over 10 end fraction ft cubed

6831100ft.3
68 start fraction 31 over 100 end fraction ft cubed

1 answer

To find the volume of a rectangular prism (the moving truck in this case), you can use the formula for volume:

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

Given the measurements:

  • Length = 9910 ft
  • Width = 6910 ft
  • Height = 6110 ft

Substituting the values into the formula:

\[ \text{Volume} = 9910 , \text{ft} \times 6910 , \text{ft} \times 6110 , \text{ft} \]

Calculating this step by step:

  1. First, multiply the length and width:

\[ 9910 , \text{ft} \times 6910 , \text{ft} = 68517100 , \text{ft}^2 \]

  1. Next, multiply that result by the height:

\[ 68517100 , \text{ft}^2 \times 6110 , \text{ft} = 418037171000 , \text{ft}^3 \]

Thus, the volume of the moving truck is

\[ 418037171000 , \text{ft}^3 \]

However, this value doesn’t match with the options provided in your responses. It is clear that there is a misunderstanding or mistake in the units or numbers provided initially, as they are not realistic for a typical moving truck. Please double-check the figures given for the moving truck dimensions.