Question

I put a picture

—PLEASE HELP

Answer 1

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

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 ~

$\mathrm{✌TeeNForeveR✌}$

Answer 2

Answer:

Step-by-step explanation:

side=Base=x

Area=side * side

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

Substitute values in the above formula:

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

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

x=$\frac{1}{2}$ft

Now,

The formula of volume of Cube:

Volume=x*x*x

Substitute the values of x=$\frac{1}{2}$ft in the formula of Volume:

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

Volume=$\frac{1}{8}$ $ft^{3}$

If you need to ask any questions, please let me know.