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:Difference in the areas of the cross sections = 20 m²Step-by-step explanation:(i) Area of the first cross sectionbase,b = 8 m, height,h = 10 mArea of the triangle = [tex]\frac{1}{2}[/tex] bharea =  [tex]\frac{1}{2}[/tex] (8) (10)area = 40 m²(ii) Area of the second cross sectionbase,b = 12 m, height,h = 10 mArea of the triangle = [tex]\frac{1}{2}[/tex] bharea =  [tex]\frac{1}{2}[/tex] (12) (10)area = 60 m²Difference in the areas of the cross sections = 60 - 40 = 20 m²