Answer:
[tex]\boxed {\tt C. \ 2.5 \ yards}[/tex]
Step-by-step explanation:
The volume of a cube can be found using the following formula:
[tex]v=s^3[/tex]
By cubing the side length, the volume is found. We know the volume is 15.625 cubic yards, so we can substitute 15.625 yd³ in for v.
[tex]15.625 \ yd^3=s^3[/tex]
We want to find the side length, s. Therefore, we must isolate s on one side of the equation.
s is being cubed. The inverse of a cube is a cube root. Take the cube root of both sides of the equation.
[tex]\sqrt[3]{15.625 \ yd^3} =\sqrt[3]{s^3}[/tex]
[tex]\sqrt[3]{15.625 \ yd^3} =s[/tex]
[tex]2.5 \ yd =s[/tex]
Choose the correct answer choice. C. 2.5 yards is correct, but be careful with choice F. Notice that the units for F are cubic yards.
The side length is 2.5 yards and choice C is correct.
