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2 years ago

Find the volume of this figure.

Mathematics

1 answer:

Bogdan [553]2 years ago

4 0

Answer:

The volume of the figure is $320\ units^{3}$

Step-by-step explanation:

we know that

The figure is a pyramid

The volume of a pyramid is equal to

$V=(1/3)BH$

where

B is the area of the rectangular base of pyramid

H is the height of pyramid

Find the area of the base B

The area of the base B is equal to

$B=AB*AC$

we have that

$AB=8\ units$ ---> see the graph

$AC=10\ units$ ---> see the graph

substitute

$B=8*10=80\ units^{2}$

we have

$H=EF=12\ units$ ---> see the graph

Find the volume

$V=(1/3)(80*12)=320\ units^{3}$

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