SOLUTION: The area of one face of a cube is 25cm². Find
(a) the volume of the cube,
(b) the total length of all the edges of the cube
Algebra.Com
Question 91838: The area of one face of a cube is 25cm². Find
(a) the volume of the cube,
(b) the total length of all the edges of the cube
Found 2 solutions by stanbon, zerosignal:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The area of one face of a cube is 25cm².
-------------
Area of a face is (side)^2
So, (side)^2=25cm^2
side = 5 cm
------------
Find
(a) the volume of the cube = (side)^3 = 5^3 = 125 cm^3
---------------------
(b) the total length of all the edges of the cube
There are 12 edges:
12*5 = 60 cm
=============
Cheers,
Stan H.
Answer by zerosignal(28) (Show Source): You can put this solution on YOUR website!
To find the volume of the cube, you must first find the length of a side.
1.) To find length of a side, you must take the given area, , and solve for the side:
Area of square face is
so,
take the square root of both sides,
therefore,the side length is
2.) Next, solve for volume of the cube:
substitute for "s";
, or
To find the total length of all edges of the cube:
1.) A cube has 12 edges, so if each edge length is 5cm, then we can write as ;
Therefore,
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