The surface area of a cube is 600cm^2. What is the volume of the cube.
2 Answers
robinmoved | Middle School Teacher | (Level 1) Adjunct Educator
Remember, all sides are = on a cube.Surface area is the area of each side of a figure, added together. As a cube has 6 sides, take the total surface area and divide by 6 to find the area of one side.
600cm^2(area is always in squared units) and divide by 6.
600cm^2/6=100cm^2
Therefore, each side of the cube has an area of 100cm^2. If the area of each square is 100cm^2, take the square root of 100 to find the length of each side of each square, as (side)^2=Area.
Square root of 100=10.If each side length =10 and Volume of a cube is (side)^3,
10^3=1000cm^3 as the volume. (volume is always is units cubed.)
justaguide | College Teacher | (Level 2) Distinguished Educator
The surface area of a cube of length l is equal to 6*l^2. The volume of the cube is equal to l^3.
The cube in the problem has a surface area of 600
6*l^2 = 600
=> l^2 = 100
=> l = 10
This gives a volume of the cube of 1000 cm^3.