A slice is made parallel to the base of a right rectangular pyramid, as shown. What is the area of the resulting two-dimensional cross-section? Enter your answer in the box.

Rectangular pyramid intersected horizontally by a rectangle. The front edge of the base of the pyramid is labeled 7 millimeters, and the right edge is labeled 4 millimeters. The height of the pyramid is labeled 5 millimeters. The part of the larger rectangle that intersects the pyramid is a smaller gray rectangle. The front side of the smaller rectangle is labeled 3.5 millimeters, and the right side is labeled 2 millimeters.

Question

Breean

Mathematics

30 November, 15:03

A slice is made parallel to the base of a right rectangular pyramid, as shown. What is the area of the resulting two-dimensional cross-section? Enter your answer in the box.

Rectangular pyramid intersected horizontally by a rectangle. The front edge of the base of the pyramid is labeled 7 millimeters, and the right edge is labeled 4 millimeters. The height of the pyramid is labeled 5 millimeters. The part of the larger rectangle that intersects the pyramid is a smaller gray rectangle. The front side of the smaller rectangle is labeled 3.5 millimeters, and the right side is labeled 2 millimeters.

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Answers (1)

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Brianna Stokes · Answer 1

7 mm²

Step-by-step explanation:

The area of any rectangle is the product of its side lengths. The area of the cross section is the product of its dimensions:

(3.5 mm) · (2 mm) = 7 mm²