Question

A rectangular pyramid has a height of 10 meters. The base measures 8 meters in length and 12 meters in width. Two different triangular cross sections are formed through the vertex and perpendicular to the base. What is the difference in the areas of the cross sections?

Answer 1

The difference in the areas of the cross sections is 20 m².

Difference in the areas

Area of the first cross section

Base= 8 meters

Height= 10 meters

Area of the triangle = 1/2b×h

Area =1/2× 8×10

Area = 40 m²

Area of the second cross section

Base= 12 meters

Height= 10 meters

Area of the triangle = 1/2b×h

Area =1/2× 12×10

Area = 60 m²

Difference in the areas of the cross sections

Difference= 60 - 40

Difference= 20m²

Inconclusion the difference in the areas of the cross sections is 20 m².

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