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Chapter 12: Q29. (page 479)

Find the volume and the total surface area of each solid in terms of the given variables.

Short Answer

Expert verified

The volume is 50x3and the surface area is 120x2.

Step by step solution

01

Step 1. Given information.

A figure provided in the question,

02

Step 2. Determine values.

Firstly, for finding the volume of the solid, subtract the volume from the total volume.

v=(4x脳3x)(5x)鈭�(x脳2x)(5x)=60x3鈭�10x3[multiply]=50x3[subtract]

Thus, the volume of the solid is .

Now find the surface area, add the all area.

40x2+30x2+20x2+10x2+20x2=120x2

Thus, the surface area is120x2 .

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