Question

(timed pls help)

Marie can find the volume of a cube by using the formula V = s ³, where s represents the side length of the cube. If Marie’s cube has a side length of 2 and 1/2 centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction AND a decimal.

Answer 1

The volume of the cube is
`(125)/(8)` cubic centimeters (
`15.625` cubic centimeters).

Explanation:

First, we must convert the side length into a fraction form:

`s = 2\,(1)/(2)\,cm`

`s = \left(2 +(1)/(2)\right)\,cm`

`s = \left((4)/(2)+(1)/(2) \right)\,cm`

`s = (5)/(2)\,cm`

The decimal form of the side length is:

`s = 2.5\,cm`

Lastly, we calculate the volume of the cube as a fraction and a decimal:

Fraction

`V = \left((5)/(2)\,cm \right)^(3)`

`V = (125)/(8)\,cm^(3)`

Decimal

`V = (2.5\,cm)^(3)`

`V = 15.625\,cm^(3)`

The volume of the cube is
`(125)/(8)` cubic centimeters (
`15.625` cubic centimeters).