A cube is a three dimensional shape that has six equal sides. The volume is found by using the following formula
The Base Area of a cube = Length * Width
Example problem from video
Find the volume of cube 1 that has
sides of 5 units.
Step 1 Find the base area
Length * Width
5 * 5 = 25
Step 2 Multiple base area * height
25 * 5 = 125 units^3
How to find the volume of a cube
Hi welcome to MooMooMath. Today we are going to look at the volume of a cube. Over here we have a cube and a cube is like the Rubik’s cube, it has 6 side, 6 faces, and 4 sides on the base and they are all equal. This cube has sides of 5. This is a prism so we will look at the prism formula and simplify it down to make it specific to the cube. The base area of a prism times the height gives us the volume, so we need to find the area of the base. The base is just a square of 5 so 5 times 5 equals a base area of 25. So I will plug a twenty five in four base area. I will multiple it by the height of the cube, which is 5, so 5 (the height) times 25(the area of a base) is 125 and since this is volume it is units cubed because it is three dimensional. Now let’s simplify this down because we do have a special case. We have a cube that all sides are the same length. Since we have to find the base area and the height and they are all the same we can simplify that to S times S for the base area times S for the height or S cubed. So that is how you find the volume of a cube. So let’s review the rules for the volume of a cube it will be S times S times S or S cubed the units will also be cubed so let’s add that .It is derived from the prism formula which is base area time’s height to get the volume. The base area of a square is S times S times the height which is also S gives us the volume of a cube. Hope this video was helpful in finding the volume of a cube.
Because all the sides of a cube are equal you can also find the volume of a cube by cubing one side.