What is the area of the cross section?

A pyramid with a rectangular base. The base is 7 by 3 inches. The height is 4 inches. A vertical triangle is drawn inside the pyramid. The dimensions of the triangle are 7 inches base and 4 inches height.

1 answer

To find the area of the cross section, we first need to find the area of the base of the pyramid, which is a rectangle.

Area of the base = length x width = 7 inches x 3 inches = 21 square inches

Next, we need to find the area of the vertical triangle inside the pyramid.

Area of the triangle = 0.5 x base x height = 0.5 x 7 inches x 4 inches = 14 square inches

Therefore, the total area of the cross section is the sum of the areas of the base and the triangle:

Total area = 21 square inches + 14 square inches = 35 square inches

So, the area of the cross section is 35 square inches.
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