A candle is in the shape of a square prism. The candle is 16 meters high, and its volume is 960 cubic meters. Find the length of each side of the square base.

Respuesta :

Answer:

The length of each side of the square base is [tex]2\sqrt{15}\ m[/tex]

Step-by-step explanation:

we know that

The volume of a square prism is equal to

[tex]V=b^{2}h[/tex]

where

B is the length side of the square base

h is the height of the prism

we have

[tex]V=960\ m^{3}[/tex]

[tex]h=16\ m[/tex]

substitute and solve for b

[tex]960=b^{2}16[/tex]

[tex]b^{2}=960/16[/tex]

[tex]b=\sqrt{60}\ m[/tex]

Simplify

[tex]b=2\sqrt{15}\ m[/tex]