A square and a cube has sides of equal length. The ratio of the total surface area of the cube to the area of the square is:
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Given:
A square and a cube has sides of equal length.
To find:
The ratio of the total surface area of the cube to the area of the square.
Solution:
From the given information, we have the data as follows.
A square and a cube has sides of equal length. So, let the side of the square be, 'a'.
The surface area of a cube = 6a²
The area of square = a²
Therefore, the ratio of the total surface area of the cube to the area of the square is calculated as follows.
The ratio of the total surface area of the cube to the area of the square = The surface area of a cube / The area of square
= 6a²/a²
= 6
Therefore, the ratio of the total surface area of the cube to the area of the square is 6.
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