Answer:
Volume : [tex] V = (\frac{1}{2} ft)^3 = \frac{1}{8} ft^3 = 0.125 ft^3[/tex]
Surface area: [tex] SA = 6 (\frac{1}{2} ft)^2 = 6 (\frac{1}{4}) ft^2= \frac{6}{4} ft^2 = \frac{3}{2} ft^2 = 1.5 ft^2[/tex]
Step-by-step explanation:
We asume for this case we have have a cube with a side length of [tex]1/2 ft[/tex] and we want to find the volume and the surface area.
We can begin finding the volume using the fact the all the sides in a cube are equal and the volume is given by:
[tex] V = L^3 [/tex]
And replacing we got:
[tex] V = (\frac{1}{2} ft)^3 = \frac{1}{8} ft^3 = 0.125 ft^3[/tex]
The surface area is given by:
[tex] SA= 6 L^2 [/tex]
Because in a cube we have 6 sides with the same area [tex]L^2[/tex] and replacing we got:
[tex] SA = 6 (\frac{1}{2} ft)^2 = 6 (\frac{1}{4}) ft^2= \frac{6}{4} ft^2 = \frac{3}{2} ft^2 = 1.5 ft^2[/tex]
