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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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Most popular questions from this chapter

Suppose the manufacturing company cuts square corners out of pieces of metal that measure 8 inches by 15 inches.

a.Express the volume in terms of x.

b.Find the maximum volume, correct to the nearest tenth of a cubic inch.

c.What are the length, width and height of the box with maximum volume? Give each correct to the nearest tenth of an inch.

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.

叠补蝉别鈥夆赌碱谤别补=___

Find the following for the regular triangular pyramid.

a.If h = 4 and l = 5, find OM, OA and BC.

b.Find the lateral area and the volume.

Refer to cubes with edges of length e. Complete the following table.

eT.A.V64

eT.A.V64

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.

XO=___
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