# 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 ->  -> 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      Log On

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 Click here to see ALL problems on Volume 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 cubeFound 2 solutions by stanbon, zerosignal:Answer by stanbon(60776)   (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,