MATH SOLVE

4 months ago

Q:
# What is the total surface area of this rectangular pyramid?9.5 ft12 ftsquare feet149153225297

Accepted Solution

A:

Answer: 225 square feetStep-by-step explanation:We find the area of the 4 triangle and the area of the rectangle and thereafter we add everything together.Area of triangle 1 = 1/2 base × height = 1/2 × 12 × 8 =96/2 =48Area of triangle 2 = area of triangle 1= 48( because the opposite triangle are congruent so they have equal base and height)Area of triangle 3 = 1/2×base×height = 1/2 × 6 ×9.5 = 57/2 =28.5Area of triangle 4=Area of triangle 3 = 57 (the opposite triangle are congruent and so they have the same base and height hence the same area)Area of the rectangle = length×breadth=12 × 6 =72Total surface area = addition of all the areas of the triangles and the rectangleTotal surface area= 48+48+57+57+72 = 225Therefore, the total surface area is 225 square feet