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Chapter 1: Q41. (page 8)

For the cube, x represents a positive whole number. Find the value of x such that the volume of the cube and 6 times the area of one of its faces have the same value.

Short Answer

Expert verified

The length of the side of cube is x=6.

Step by step solution

01

Step 1. Volume of cube and area of square.

The volume of cube is V=(side)3and the area of base of the cube isV=(side)3

02

Step 2. Write the equation for the given statement.

The side of cube is x.

It is given that the volume of cube and 6 times the area of one of its faces have the same value.

Therefore, the required equation will be:

x3=6x2.

03

Step 3. Simplify the equation.

x3x2=6x2x2x=6

The length of the side of cube is x=6.

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