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

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04-04-2022
Mathematics

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

Sagot :

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aidandalonzo2022 aidandalonzo2022 · Answer 1 · 2022-04-04T18:57:42-04:00

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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