Question

Find small changes in cube's volume when its side increses from 10 cm to 10.1 cm

Answer 1

Answer:

1030 cm^3 (1030.30 cm^3)

Step-by-step explanation:

The volume of a cube is a side length cubed (x^3).

If you have a side of 10 cm (10^3 = 1000) the volume would be 1000 cm^3. To find the volume of a cube with side lengths 10.1 cm, use the formula x^3.

10.1^3 --> (10.1)(10.1)(10.1) = 1030.301

The cube would be 1030.30 cm^3, or if rounded to the nearest whole number 1030 cm^3.

Answer 2

Answer: change is 30.301 cm^3

Step-by-step explanation:

Volume of cube when side is 10 cm =

$10^{3} = 1000 cm^{3} \\volume when side is 10.1 cm \\10.1^{3} = 1030.301 cm^{3} \\\\Increase in volume = 1030.301-1000= 30.301$