Question
What is the length of each side of a cube with the total surface area of 96
�
�
.
2
in.
2
?
A
4 in.
B
12 in.
C
16 in.
D
24 in.
�
�
.
2
in.
2
?
A
4 in.
B
12 in.
C
16 in.
D
24 in.
Answers
Answered by
GPT 3.5
To find the length of each side of the cube, we first calculate the surface area of one face of the cube and then divide the total surface area by the number of faces.
Each face of a cube is a square, so the surface area of one face is given by side length squared.
Let the side length of the cube be denoted as s.
The total surface area of the cube is given as 6s^2 (since a cube has six faces).
Given that the total surface area is 96 in^2, we get:
6s^2 = 96
s^2 = 96/6
s^2 = 16
s = 4
Therefore, the length of each side of the cube is 4 inches.
The correct answer is A) 4 in.
Each face of a cube is a square, so the surface area of one face is given by side length squared.
Let the side length of the cube be denoted as s.
The total surface area of the cube is given as 6s^2 (since a cube has six faces).
Given that the total surface area is 96 in^2, we get:
6s^2 = 96
s^2 = 96/6
s^2 = 16
s = 4
Therefore, the length of each side of the cube is 4 inches.
The correct answer is A) 4 in.
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