The volume of the cube is equal to four times the area of one of its faces. What is the volume of the cube?
The volume of the cube is equal to four times the area of one of its faces. What is the volume of the cube?
Volume:
in.3
To find the volume of the cube, we need to know the length of one side of the cube. Let's call it "s".
The formula for the volume of a cube is V = s^3, where V represents the volume.
The area of one face of the cube is given by A = s^2, where A represents the area.
According to the given information, the volume of the cube is equal to four times the area of one face. Therefore, we can write the equation as:
V = 4A
Substituting the formulas for volume and area, we have:
s^3 = 4(s^2)
Now, to find the value of s, we can solve this equation.
Divide both sides of the equation by s^2:
s = 4
Therefore, the length of one side of the cube is 4 units.
Now, substitute this value of s into the volume formula:
V = 4^3 = 64
Therefore, the volume of the cube is 64 cubic units.
let each side of the cube be x
volume of cube = x^3
area of one face = x^2
4 times the area of all its faces = 4(6x^2) = 24x^2
x^3 = 24x^2
x^3 - 24x^2 = 0
x^2(x-24) = 0
x = 0 , not acceptable
or
x = 24
Volume = 24^3 units^3 = ....
distance dropped = 16t^2
when t = 2, distance dropped = 16(4) = ....
What do you think?
An object falls 16t squared feet in t seconds. You drop a You drop a rock from a bridge that is 75 feet above the water. Will the rock hit the water in 2 seconds?
In 2 seconds, the rock has fallen ____ feet.