Perimeter of one face of cube is 40 m. Find the volume of cube. ?
Perimeter of one face of a cube:
The perimeter of a square, which is the shape of one face of a cube, is the sum of the lengths of all its sides. In the case of a cube, all sides are equal in length.
Let's assume the length of one side of the cube is 'a'. Therefore, the perimeter of one face of the cube is 4a, where 'a' is the side length.
Given that the perimeter of one face of the cube is 40 m, we can write the equation:
4a = 40
Solving this equation, we find that the length of one side of the cube, 'a', is 10 m.
Volume of a cube:
The volume of a cube is calculated by multiplying the length of one side by itself twice. In other words, it is the side length cubed.
Using the value of 'a' we found earlier, the volume of the cube can be calculated as:
V = a^3
V = 10^3
V = 1000 m^3
Therefore, the volume of the cube is 1000 cubic meters.
Summary:
- The perimeter of one face of a cube is the sum of the lengths of all its sides.
- The length of one side of the cube can be determined by dividing the perimeter by 4.
- The volume of a cube is calculated by multiplying the length of one side by itself twice.
- Given the perimeter of one face of the cube is 40 m, we find that the length of one side is 10 m.
- Therefore, the volume of the cube is 1000 cubic meters.
Perimeter of one face of cube is 40 m. Find the volume of cube. ?
Perimeter of square=4l
side of square=
40=4l
40÷4=l
10=l
volume of cube=l3
=10×10×10
=1000m3
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