If all three dimensions of a cuboid are increased by 10%, the volume increases by what percentage?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 33.1%.
Let original dimensions be Length = L, Breadth = B, Height = H
Original volume (V) = L × B × H
New length = 1.1L
New breadth = 1.1B
New height = 1.1H
New volume (V1) = 1.1L × 1.1B × 1.1H = (1.1)3 × (L × B × H) = 1.331V
Increase = V1 – V = 1.331V – V = 0.331V
Percentage increase = (0.331V/V) × 100 = 33.1%