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Mumz [18]
3 years ago
11

I put a picture —PLEASE HELP

Mathematics
2 answers:
Irina-Kira [14]3 years ago
6 0

Answer:

Step-by-step explanation:

side=Base=x

<u>Area=side * side</u>

Area=\frac{1}{4} ft^{2}

<u>Substitute values in the above formula:</u>

<u />\frac{1}{4} ft^{2}=x * x

x^{2}=\frac{1}{4} ft^{2}

x=\frac{1}{2}ft

<u>Now,</u>

<u>The formula of volume of Cube:</u>

<u>Volume=x*x*x</u>

<u>Substitute the values of x=</u>\frac{1}{2}<u>ft in the formula of Volume:</u>

Volume=\frac{1}{2}ft * \frac{1}{2}ft * \frac{1}{2}ft

<u>Volume=</u>\frac{1}{8}<u> </u>ft^{3}<u />

<u />

<h3><em><u>If you need to ask any questions, please let me know.</u></em></h3>
Karo-lina-s [1.5K]3 years ago
3 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

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 : -

  • side \times side

  • x \times x

  • {x}^{2}

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 ~

  • {x}^{2}  =  \dfrac{1}{4}

  • x =  \sqrt{ \dfrac{1}{2}  \times  \dfrac{1}{2} }

  • x =  \dfrac{1}{2}  \:  \: feet

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

  • (side) {}^{3}

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

Volume is equal to ~

  • {  \bigg(\dfrac{1}{2} \bigg) }^{3}

  • \dfrac{1}{8}  \:  \: ft {}^{3}

Hence, the required 1/8 or 0.125 ft³

I hope it helped ~

\mathrm{✌TeeNForeveR✌}

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