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—PLEASE HELP

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Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft

Therefore it's Area is equal to : -

Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~

that is ~

It's time to find the volume of cube that is ~

So, let's plug the value of side length (1/2 ft)

Volume is equal to ~

Hence, the required 1/8 or 0.125 ft³

I hope it helped ~

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

Answer:

Step-by-step explanation:

side=Base=x

Area=side * side

Area=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]

Substitute values in the above formula:

[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]=x * x

[tex]x^{2}[/tex]=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]

x=[tex]\frac{1}{2}[/tex]ft

Now,

The formula of volume of Cube:

Volume=x*x*x

Substitute the values of x=[tex]\frac{1}{2}[/tex]ft in the formula of Volume:

Volume=[tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft

Volume=[tex]\frac{1}{8}[/tex] [tex]ft^{3}[/tex]

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