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Quick geometry question please help ASAP!!!

For #3

Quick geometry question please help ASAP!!! For #3-example-1
User MyCarta
by
6.6k points

1 Answer

6 votes

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)

User Vishesh Shrivastav
by
6.5k points