the surface area of a cube is 150cm2,what is its volume?
150 = 6s^2 so s = 5
v = s^3 = 125
To find the volume of a cube, you need to know the length of one of its sides. However, in this case, you are given the surface area instead. Let's first find the length of one side using the surface area.
The surface area of a cube is given by the formula: SA = 6s^2, where SA is the surface area and s is the length of one side.
In this case, the surface area is given as 150cm^2, so we can rewrite the formula as follows:
150 = 6s^2
Divide both sides of the equation by 6:
150/6 = s^2
25 = s^2
Take the square root of both sides to find the length of one side:
s = √25
s = 5 cm
Now that we know the length of one side is 5 cm, we can find the volume of the cube.
The volume of a cube is given by the formula: V = s^3, where V is the volume and s is the length of one side.
Substitute the value of s:
V = (5 cm)^3
V = 5 cm × 5 cm × 5 cm
V = 125 cm^3
Therefore, the volume of the cube is 125 cm^3.