Question

Find the approx change in the volume of a cube of x m when. Side ising by 1%

Answer 1

Answer:

1% change in side of cube result in 3% change in Volume of Cube

Step-by-step explanation:

Side  of cube = x m

Volume of cube = x³ m³

Sides increased by 1%

New Side of cube = x + (1/100)x == 1.01x

Volume of new cube = (1.01x)³ = 1.03x³

Increase in Volume = 1.03x³ - x³ = 0.03x³

% increase = (0.03x³/x³)* 100 = 3 %

Sides Decreased by 1%

New Side of cube = x - (1/100)x == 0.99x

Volume of new cube = (0.99x)³ = 0.97x³

Decrease in Volume =x³ - 0.97x³ = 0.03x³

% Decrease = (0.03x³/x³)* 100 = 3 %