Chapter ISG, Problem 7.1.5P

To determine

To find the error

Answer to Problem 7.1.5P

There was error. Correct area is $60x^7$ cubic units

Explanation of Solution

Given information:

Length of cuboid= $4x^3$

Breadth of cuboid= $3x^2$

Height of cuboid= $5x^2$

Given area= $60x^{12}$

Formula used:

Volume of cuboid= $length\times breadth\times height$

Calculation:

According to question,

Area of cuboid= $length\times breadth\times height$

Substituting values,

Area= $4x^3\times 3x^2\times 5x^2$

Solving,

Area= $(4)(3)(5)x^{3+2+2}$

So,

area= $60x^7$

But the given area is $60x^{12}$ cubic units. It means it is incorrect,

Correct area is $60x^7$ cubic units