A box has a volume of 27 cubic feet. Assuming the box is a cube, what is the area of one of its faces?
square feet
A box has a volume of 27 cubic feet. Assuming the box is a cube, what is the area of one of its faces? square feet
Share
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
A box has a volume of 27 cubic feet. Assuming the box is a cube, what is the area of one of its faces?
square feet
To find the area of one face of a cube with a volume of 27 cubic feet, we start by determining the length of one side of the cube.
1. The formula for the volume of a cube is:
[
V = s^3
]
where ( s ) is the length of one side.
2. Since the volume ( V ) is given as 27 cubic feet, we can set up the equation:
[
s^3 = 27
]
3. To find ( s ), we take the cube root of both sides:
[
s = sqrt[3]{27} = 3 text{ feet}
]
4. Now, to find the area of one face of the cube, we use the formula for the area of a square:
[
text{Area} = s^2 = 3^2 = 9 text{ square feet}
]
So, the area of one of the faces of the cube is 9 square feet.