1 Answer

Vishesh Shrivastav · Answer 1 · 2020-12-08T07:49:06+0000

Answer:

The volume of the composite figure is equal to
$400\ in^(3)$

Explanation:

we know that

The volume of the composite figure is equal to the area of the rectangular prism plus the volume of the rectangular pyramid

step 1

Find the volume of the rectangular prism

The volume is equal to

V=LWH

we have

$L=12\ in$

$W=4\ in$

$H=5\ in$ ----> height of the rectangular prism

substitute

$V=12*4*5=240\ in^(3)$

step 2

Find the volume of the rectangular pyramid

The volume is equal to

V=(1)/(3)LWh

we have

$L=12\ in$

$W=4\ in$

$h=10\ in$ ----> height of the rectangular pyramid

substitute

$V=(1)/(3)(12)(4)(10)=160\ in^(3)$

step 3

Adds the volumes

$240\ in^(3)+160\ in^(3)=400\ in^(3)$

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