Find the area of the diagonal section of a cube if its edge is 4 cm.
| February 13, 2021 | education
The diagonal section of the cube is a rectangle, the width of which is equal to the length of the edge of the cube 4 cm, and the second side is the diagonal of the square at the base, which can be calculated by the Pythagorean theorem as the hypotenuse of a right-angled triangle with 4 cm legs.
d = √ (4 * 4 + 4 * 4) = √32 = 4√2 cm.
Let’s find the cross-sectional area.
S = 4√2 * 4 = 16√2 cm2.
Answer: S = 16√2 cm2.
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