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Select the correct answer.

The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate area of the cross
section passing through the diagonals of opposite faces of this cube?

А.12 square centimeters

B.25 square centimeters

C.35 square centimeters

D.49 square centimeters

Select the correct answer. The edges of a cube are 5 centimeters each and the diagonal-example-1

1 Answer

13 votes

Answer:

The approximate area of the cross section passing through the diagonals of opposite faces of this cube is:

  • C. 35 square centimeters.

Explanation:

When you think in the cross section passing through the diagonals of opposite faces of the cube given, you can see that it's a rectangle with long = 7 centimeters and wide = 5 centimeters ( the measure of an edge of the cube), having this, you can calculate the area:

  • Area of a rectangle = long * wide
  • Area of a rectangle = 7 cm * 5 cm
  • Area of a rectangle = 35 cm^2 or 35 square centimeters
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