Question

The sides of a cube are 10 cm each. If its sides are increased by 1 cm each, calculate the percentage increase in its total surface area and volume

Answer 1

The percentage increase in total surface area and volume is 21% and 33.1% respectively.

• The sides of the cube is 10 cm each.

• Total surface area of the cube = 6 × 10² = 600 sq. cm

• Volume of the cube = 10³ = 1000 cubic cm.

• Now, the sides are increased by 1 cm, then the side of the cube is 11 cm.

• Increased total surface area = 6 × 11² = 726 cm²

• Increased volume of cube = 11³ = 1331 cu. cm

• Now ,

Percentage increase in total surface area of the cube = $\frac{726-600}{600}$ × 100

Percentage increase in total surface area  = 21%

• And,

Percentage increase in volume of the cube = $\frac{1331-1000}{1000}$ × 100

Percentage increase in volume  = 33.1%