What will be the percentage increase in the area of the cube's surface if each of the cube's edges ...

What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 50%?

Answer/Solution

125%

Steps/Work

The question is very easy. My logic is the following:
A surface = 6*a^2
After 50% increase A surface = 6* ((1.5a)^2) = 6*2.25*a^2
The increase in the surface area = (6*2.25*a^2 - 6*a^2)/6*a^2 = (6*a^2(2.25-1))/(6*a^2) = 2.25-1=1.25 = 125%
Answer :A

Geometry Calculator / Auto Solver

What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by %?

Calculated Answer

125

Step by Step Solution

In order to solve problem, you must evaluate (n₀ / 100 + 1^2 - 1) * 100.

n₀ =	50

(n₀ / 100 + 1^2 - 1) * 100
Evaluate n₀ / 100 = 0.5
(0.5 + 1^2 - 1) * 100
Evaluate 0.5 + 1 = 1.5
(1.5^2 - 1) * 100
Evaluate 1.5^2 = 2.25
(2.25 - 1) * 100
Evaluate 2.25 - 1 = 1.25
1.25 * 100
Evaluate 1.25 * 100 = 125
125
The answer to the problem and the result of (n₀ / 100 + 1^2 - 1) * 100 is 125

Quiz

Answer/Solution

Steps/Work

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Calculated Answer

Step by Step Solution