Question

What is the volume of the cube shown?

Answer 1

Answer:
`11(25)/(64)in^3`

Explanation:

`V=a^3`

This is your mixed number.
`2(1)/(4)in`

Start by converting the mixed number to an improper fraction. To do this, you take the big number, multiply it by the denominator, add the numerator; and all of this over the same denominator.

`(2*4+1)/(4)in=(8+1)/(4)in=(9)/(4)in`

Now plug this into the formula:

`V=((9)/(4)in)^3`

As you should remember;

`((x)/(y))^n=(x^n)/(y^n)`

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`V=(9^3)/(4^3)in^3`

Solve;

`V=(729)/(64)in^3`

Now convert to mixed number by dividing.

729/64=11

64

------

8'9

64

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25

11 is the big number, 25 the numerator and 64 the denominator.

`11(25)/(64)`

Answer 2

The answer is the last one.