Correct option is D
Given:
Edges of three cubes = 3 cm, 4 cm, and 5 cm
Formula Used:
Volume of cube =
Total surface area =
Solution:
Calculate the total volume of the three cubes:
= 27 + 64 + 125 = 216
Find the edge length of the new single cube:
= 216
a = 6
Calculate the initial total surface area:
= 6 × (9 + 16 + 25) = 6 × 50 = 300
Calculate the total surface area of the new cube:
6 × = 6 × 36 = 216
Calculate the decrease in area:
300 - 216 = 84
Calculate the percentage change:
× 100 = 28
Final Answer
So the correct answer is (d)