A cube is a 3 dimensional object with 6 square faces. All its sides are the same length, there fore the volume is equal to
![s^3](https://tex.z-dn.net/?f=s%5E3)
where s is the side length.
![s^3 = \frac{27}{64}](https://tex.z-dn.net/?f=s%5E3%20%3D%20%20%5Cfrac%7B27%7D%7B64%7D%20)
To solve for s, take the cube root of both sides.
![\sqrt[3]{s^3}= \sqrt[3]{ \frac{27}{64} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B27%7D%7B64%7D%20%7D%20%20)
![s= \frac{3}{4}](https://tex.z-dn.net/?f=s%3D%20%5Cfrac%7B3%7D%7B4%7D%20)
feet
DEF= 6 ft^2
A= 1/2*b*h
Plug in what you know.
6= 1/2*4*h
Multiply like terms.
6=2*h
Divide 2 on both sides.
3=h
If the base of ABC= 12
12/4=3
3*3=9
A= 1/2*b*h
A= 1/2*12*9
A= 1/2*84
A= 42
The area of ABC is 42 ft^2
I hope this helps!
~kaikers