Question #23886

2 Answers
Nov 4, 2017

Length of one side of the box = 5 m.

Explanation:

This is a cube shaped box. Volume of a cube is #a^3# where 'a' is side of the cube.
Given volume is 125 m^3.
Let's first find the factors of 125.
# volume = 125 = 5*5*5#
#a^3 = 5*5*5 = 5^3#
#:.# a = 5 m.

Nov 4, 2017

#5# #m#

Explanation:

Let the side length of the box be #s#

#color(blue)("Volume of box"=s^3#

Google images

So,

#rarr125=s^3#

#rarrroot(3)125=s#

#rarrs=root(3)(5*5*5#

#rarrs=root(3)(5^3#

#color(green)(rArrs=5# #color(green)(m#

Hope that helps!!! ☺○☻