Respuesta :
Answer:
So its area A = 4 * 4sqrt(2) = 16sqrt(2) inches^2
Explanation:
In order to find the area of the section, we need to find the length of one of the diagonals.
Using the Pythagorean Theorem, a^2 + b^2 = c^2, we pick any side of the cube which in
itself is a square with sides 4 inches each. The length of the diagonal of the square is
2(4^2) = c^2 or c = 4sqrt(2).
To calculate the area of the section, we must first determine the length of one of the diagonals. Using the Pythagorean Theorem, [tex]\bold{a^2 + b^2 = c^2}[/tex], one selects any side of the cube which in its a square with four-inch sides.
- The diagonal of a square has a length:
[tex]\to 2(4^2) = c^2 \\\\ \to c = 4\sqrt{(2)}[/tex]
- A section is now a rectangle with sides 4 and [tex]4\sqrt{(2)}[/tex]. So its area
[tex]\to A = 4 \times 4\sqrt{(2)} = 16\sqrt{(2)}\ inches^2[/tex]
Therefore, the answer is "[tex]\bold{ 16\sqrt{(2)}\ inches^2}[/tex]".
Learn more:
brainly.com/question/44587
