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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.)

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Answer:

1.95 cubic feet

Step-by-step explanation:

We are given that Emily stores her jewelry in a cube and the cube has a side length of [tex]1\frac{1}{4}[/tex] feet.

[tex]1\frac{1}{4}[/tex] feet in an decimal form is 1.25 feet.

We know that,

volume of a cube = s[tex]^{3}[/tex]

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 = [tex](1.25)^3[/tex] = 1.95 feet

Answer: [tex]1\dfrac{61}{64}\text{ cubic feet}[/tex]

Step-by-step explanation:

Given : The side length of cube = [tex]1\dfrac{1}{4}\text{ feet}[/tex]

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

[tex]\text{Volume}=(\text{side})^3[/tex]

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

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

Hence, the volume of the cube is [tex]1\dfrac{61}{64}\text{ cubic feet}[/tex]

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