A cube of side 4 cm is cut into cubes of 1 cm. What is the increa
| A cube of side 4 cm is cut into cubes of 1 cm. What is the increase in percentage in the total surface area after cutting?
A. 100%
B. 200%
C. 300%
D. 400%
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
Side of cube = 4 cm
T.S.A of cube = 6a2 = 96 cm2
When a 4 cm cube is cut so that it produces cubes of 1 cm, the resultant number of cubes would be 64.
⇒ T.S.A of 64 cubes of 1 cm = 64 × 6a2 = 384 cm2
∴ Percentage change = (384 - 96) × 100/96 = 300%