2.Determine the area of each face of a cube with the given surface area.
a. 306.6
b. 450
I need some help with these problems Thx!
Your Answer Will Be........................
21 ;)
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Thank u so much!!!!!!!!!!!!!!!!!
a cube has 6 faces. So just divide the given area by 6 to get the area of a face.
To determine the area of each face of a cube with the given surface area, you need to first find the length of the side of the cube.
The surface area of a cube is given by the formula: Surface Area = 6 * (side length)^2
1. For the first problem with a surface area of 306.6, you need to solve the equation:
306.6 = 6 * (side length)^2
Divide both sides of the equation by 6:
51.1 = (side length)^2
Take the square root of both sides to find the side length:
√51.1 ≈ 7.143
Now that you have the side length, you can find the area of each face of the cube by applying the formula: Area = (side length)^2
So, the area of each face of the cube with a surface area of 306.6 would be approximately 7.143^2 = 51.1 square units.
2. For the second problem with a surface area of 450, you need to solve the equation:
450 = 6 * (side length)^2
Divide both sides of the equation by 6:
75 = (side length)^2
Take the square root of both sides to find the side length:
√75 = √(25 * 3) = √25 * √3 = 5√3 ≈ 8.660
Now that you have the side length, you can find the area of each face of the cube by applying the formula: Area = (side length)^2
So, the area of each face of the cube with a surface area of 450 would be approximately (8.660)^2 = 75 square units.