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  • 05-04-2022
  • Mathematics
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A cube is sliced as shown. Find the area of the cross section formed by the slice.

A cube is sliced as shown Find the area of the cross section formed by the slice class=

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aidandalonzo2022 aidandalonzo2022
  • 05-04-2022

Answer: 5√(50) = 35.36 m^2

Step-by-step explanation:

The cross section is a rectangle, so its area formula is: Area = length * width.

If you look, the width is the diagonal of the side of the cube; thus, you can use Pythagorean theorem to find its measurement: a^2 + b^2 = c^2 → 5^2 + 5^2 = c^2 →

50 = c^2 → c = √(50)

Now, use the area formula and get: Area = 5 * √(50) = 5√(50) = 35.36 m^2 :)

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