Each edge of a cube is increased by 50%. What will be the percent increase in its volume?
A. 50 %
B. 150 %
C. 133 ¼ %
D. 237 ½ %
Answers
Answered by
11
Answer: The surface area of the cube is increased by 125% Each edge is increased by 50%, if it was originally x, now it's 1.5x. The area of each face was originally x^2, now it's 2.25x^2. Therefore the area of each face is increased by125%, and so is the total surface area of the cube.
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Answered by
5
Step-by-step explanation:
Let edge = a
Volume = a^3
If edge increases by 50% then edge =1.5a
New Volume = (1.5a)^3
= 3.375a^3
Increase = 3.375a^3-a^3
= 2.375a^3
Increase %= 2.375a^3/a^3 *100
= 237.5%
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