epicdragon1000
epicdragon1000 epicdragon1000
  • 01-10-2018
  • Mathematics
contestada

Find the volume of the tra ezoidal prism in the figure.

A. 72 m3
B. 252 m3
C. 432 m3
D. 216 m3

Find the volume of the tra ezoidal prism in the figure A 72 m3 B 252 m3 C 432 m3 D 216 m3 class=

Respuesta :

carlosego
carlosego carlosego
  • 02-10-2018

To solve this problem you must apply the proccedure shown below:

1. You can use the following formula for calculate the volume:

[tex]V=(\frac{a+b}{2})(h)(l)[/tex]

Where:

[tex]a=6m\\b=12m\\h=8m\\l=3m[/tex]

2. Now, you must substitute the values above into the formula:

[tex]V=(\frac{a+b}{2})(h)(l)\\V=(\frac{6m+12m}{2})(8m)(3m)\\V=216m^{3}[/tex]

Therefore, the answer is the last option: D. 216 m³.

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