SOLUTION: 1.The volume of a cube is 64 cubic meters. Calculate the length of one edge of the cube. 2. If the volume of a cube is 27 cubic meters, calculate the area of one face. 3. The vol

Algebra ->  Volume -> SOLUTION: 1.The volume of a cube is 64 cubic meters. Calculate the length of one edge of the cube. 2. If the volume of a cube is 27 cubic meters, calculate the area of one face. 3. The vol      Log On


   



Question 850712: 1.The volume of a cube is 64 cubic meters. Calculate the length of one edge of the cube.
2. If the volume of a cube is 27 cubic meters, calculate the area of one face.
3. The volume of a rectangular box is 240 cubic meters. the height of the box is 3 m. Calculate the area of the bottom of the box.
4. A piece of wood is 4 m long. the area of the top portion which is square is 0.09 cubic meters. calculate the volume of the piece of wood.

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of cube = length * breadth * height
As all equal in a cube = l^3
Cube root of 64 = 4m (The size of an edge)
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Volume of a cube = length * breadth * height
As all the same size = l^3
Cube root of 27 = 3m
Area of face = length * breadth
Area of face = 3m * 3m = 9m^2
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Volume of a rectangular box = length * breadth * height
240m^3 = length * breadth * 3
length * breadth = 240/3 = 80m^2
Area of base of box = length * breadth = 80m^2
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Length of stick = 4 metres
Area of top of stick = 0.09 m^2
Volume of stick = length * breadth * height
Volume of stick = length * top area
Volume of stick = 0.36 m^3
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Hope this helps. :-)