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Find the unknown dimensions and the volume of the composed figure. А A 4 in. 5 in. 5 in. 3 in. 3 in. B 4 in. Enter the correct numbers in the boxes. Hint The dimension of edge A is inches. The dimension of edge B is inches. The volume of the composed figure is cubic inches.

User Marc Ziss
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1 Answer

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First we will find the dimension of A

A is equal to the sum of the measures in red


A=5+4+5=14in

For B

as we can see in the image B=4in


B=4in

Then for the volume we will divide the figure in 2 different figures

First we will calculate the volume of the rectangular prims over the line in yellow


V=l* w* h

where

l=14 in

w=4 in

h=3 in

we substitute the values


V=14*4*3=168in^3

then we will calculate the volume of the prism under the line, in this case we have

l=4in

w=4in

h=3in

we substitute the values


V=4*4*3=48in^3

the total volume of the composed figure is


V=168+48=216in^3

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User Reflic
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