SOLUTION: What is the surface area of a cube with a 4 foot diagonal
Algebra.Com
Question 234302: What is the surface area of a cube with a 4 foot diagonal
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Use the formula:
Surface Area of a Cube = 6 a^2
The diagonal is the hypotenuse of a right triangle in the cube.
The legs are represented by the letter a.
a^2 + a^2 = 4^2
2a^2 = 16
a^2 = 16/2
a^2 = 8
sqrt{a^2} = sqrt{8}
a = 2(sqrt{2})
Now that we know the value of a, plug it into the formula for the surface area of a cube.
Surface Area of a Cube = 6 (2(sqrt{2})^2
Can you finish now?
RELATED QUESTIONS
what is the length of the diagonal of a regular cube with a surface area of 54 units... (answered by mananth)
what is the length of the diagonal of a cube with a surface area of 24units squared?
(answered by mananth)
The surface area of a cube is 150 sq. cm. What is the length of its diagonal in... (answered by Alan3354)
what is the surface area of a cube in... (answered by Alan3354,richard1234)
a cube has a surface area of 400 sq. inches, what is the surface area of a similar cube... (answered by TimothyLamb)
what is the surface area of a cube with a side length of... (answered by JBarnum)
What is the volume of a cube with a surface area of 48ft^2? (answered by nerdybill)
What is the volume of a cube with a surface area of 48 feet... (answered by Gogonati)
What is the surface area of a cube with a height of... (answered by stanbon)