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Chapter 12: Q30. (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(72xy+64x2) cube unit and the surface area is 96x2ysquare unit.

Step by step solution

01

Step 1. Given information.

A figure provided in the question,

02

Step 2. Determine the Surface Area.

To find the surface area, first find the lateral area sand base area,

L.A.=ph=(8x+16x)3y[substitute]=72xy[simplify]

And

B=(6x)2鈭�4x2=36x2鈭�4x2[multiply]=32x2[subtract]

Thus, the total surface area is.

T.A.=L.A.+2B=72xy+64x2[simplify]

So, the surface area is72xy+64x2 .

03

Step 3. Determine the Volume.

Now find the volume, multiply the base area by height.

v=32x2(3y)=96x2y[multiply]

Thus, the volume is96x2y .

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