Question

I put a picture

—PLEASE HELP

Answer 1

Explanation:

side=Base=x

Area=side * side

Area=
`(1)/(4)`
`ft^(2)`

Substitute values in the above formula:

`(1)/(4)`
`ft^(2)`=x * x

`x^(2)`=
`(1)/(4)`
`ft^(2)`

x=
`(1)/(2)`ft

Now,

The formula of volume of Cube:

Volume=x*x*x

Substitute the values of x=
`(1)/(2)`ft in the formula of Volume:

Volume=
`(1)/(2)`ft *
`(1)/(2)`ft *
`(1)/(2)`ft

Volume=
`(1)/(8)`
`ft^(3)`

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

Answer 2

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\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 * side`

• 
  `x * 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) = (1)/(4)`

• 
  `x = \sqrt{ (1)/(2) * (1)/(2) }`

• 
  `x = (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((1)/(2) \bigg) }^(3)`

• 
  `(1)/(8) \: \: ft {}^(3)`

Hence, the required 1/8 or 0.125 ft³

I hope it helped ~

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