Question

A cube in Emily's closet where she stores her jewelry has a side length of 1 1/4 feet.

The volume of the cube is ________ cubic feet.
(If nessecary, use / for the answer.)

Answer 1

Answer:
`1(61)/(64)\text{ cubic feet}`

Explanation:

Given : The side length of cube =
`1(1)/(4)\text{ feet}`

We know that the volume of a cube is given by :-

`\text{Volume}=(\text{side})^3`

Thus, the volume of the given cube is given by :-

`\text{Volume}=(1(1)/(4))^3\\\\\Rightarrow\ \text{Volume}=((5)/(4))^3\\\\\Rightarrow\ \text{Volume}=(5^3)/(4^3)\\\\\Rightarrow\ \text{Volume}=(125)/(64)=1(61)/(64)\text{ cubic feet}`

Hence, the volume of the cube is
`1(61)/(64)\text{ cubic feet}`

Answer 2

1.95 cubic feet

Explanation:

We are given that Emily stores her jewelry in a cube and the cube has a side length of
`1(1)/(4)` feet.

`1(1)/(4)` feet in an decimal form is 1.25 feet.

We know that,

volume of a cube = s
`^(3)`

where s is the side length of the cube.

So substituting this value of side length of cube in the formula to get:

Volume of cube =
`(1.25)^3` = 1.95 feet