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Chapter 12: Q11. (page 478)

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

eT.A.150V

eT.A.150V

Short Answer

Expert verified

e5T.A.150V125

Step by step solution

01

Step 1. Given information.

The total area of the cube is 150. That is,T.A.=150T.A.=150.

02

Step 2. Write the concept.

The total area of the cube is given by:

T.A.=6e2

The volume of rectangle is given by:

V=e3V=e3

03

Step 3. Determine the value.

Firstly, find the length of edge of the cube using total area.

T.A.=6e2150=6e21506=e2

So,

25=e25脳5=e2e=5鈥夆赌塽苍颈迟

25=e25脳5=e2e=5鈥夆赌塽苍颈迟

Then, the volume is

width="89">V=e3=(5)3=5脳5脳5=125鈥夆赌塽苍颈迟3

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