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.
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.