If the total length of all the edges of a cube is 4 feet, what is the volume of the cube?
Answer (3)
The volume of the cube is 1/27 cubic feet. ;
The volume of the cube, given that the sum of its edges is 4 feet, is 27 1 cubic feet.
Given:
The sum of all edges of the cube = 4 feet
Since a cube has 12 edges of equal length, we denote the length of each edge as s.
From the given information:
12 s = 4
Divide both sides by 12 to find the length of each edge s:
s = 12 4 s = 3 1
Now that we have the length of each edge s = 3 1 feet, we can find the volume V of the cube using the formula for the volume of a cube:
V = s 3
Substitute s = 3 1 into the formula:
V = ( 3 1 ) 3 V = 27 1
Therefore, the volume of the cube is 27 1 cubic feet.
The volume of the cube is 27 1 cubic feet when the total length of all the edges is 4 feet. This is calculated by first finding the length of one edge and then cubing that length. Each edge measures 3 1 feet .
;
