Answer:
60 inches long are the sides of the pillars.
Step-by-step explanation:
Given : A small bridge sits atop four cube shaped pillars that all have the same volume. the combined volume of the four pillars is 500 ft cubed.
To find : How many inches long are the sides of the pillars?
Solution :
Refer the attached picture below for Clarence of question.
The volume of the cube is [tex]V=a^3[/tex]
Where, a is the side.
The combined volume of the four pillars is 500 ft cubed.
The volume of each cube is given by,
[tex]V=\frac{500}{4}=125\ ft^3[/tex]
Substitute in the formula to get the side,
[tex]125=a^3[/tex]
[tex]a=\sqrt[3]{125}[/tex]
[tex]a=5\ ft[/tex]
We know, 1 feet = 12 inches
So, 5 feet =[tex]5\times 12=60[/tex] inches
Therefore, 60 inches long are the sides of the pillars.
