Question

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. mm² 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.

Answer 1

Answer: $7\ \text{mm}^2$

Step-by-step explanation:

Given : A slice is made parallel to the base of a right rectangular pyramid.

The part of the larger rectangle that intersects the pyramid is a smaller gray rectangle.

i.e. the resulting two-dimensional cross-section is represented  by smaller gray rectangle.

The front side of the smaller rectangle is labeled 3.5 millimeters, and the right side is labeled 2 millimeters.

Then, the area of the resulting two-dimensional cross-section = $3.5\times2=7\ \text{mm}^2$

Answer 2

Answer:

All you need to do is the shaded area, which is 3.5x2

3.5•2=7

7 is your answer