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What is the total surface area of this rectangular pyramid?

9.5 ft
12 ft
square feet
149
153
225
297

What is the total surface area of this rectangular pyramid? 9.5 ft 12 ft square feet-example-1
User Gdeglin
by
5.9k points

2 Answers

5 votes

Answer:

225 sq ft

Explanation:

User Jeff Ayan
by
5.7k points
4 votes

Answer: 225 square feet

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

=48

Area 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

=28.5

Area 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 =72

Total surface area = addition of all the areas of the triangles and the rectangle

Total surface area= 48+48+57+57+72 = 225

Therefore, the total surface area is 225 square feet

User LucaSC
by
6.2k points