Question

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? A. 12 square centimeters B. 25 square centimeters C. 35 square centimeters D. 49 square centimeters

Answer 1

correct answer is 49

Explanation:

i used the formula for surface area

SA=2B+LA(surface area=2*the base+ lateral area)

Answer 2

Answer: C. 35 square centimeters

Think of cutting a cube along the opposite diagonals (the diagonals on the opposite faces). The resulting area that is inside is the cross sectional area. It is a rectangle with sides of 5 and 7. The 7 is approximate as it is the length of the diagonal. So we have 5*7 = 35 as the approximate cross sectional area.