What is the total surface area of the rectangular pyramid below

Step-by-step explanation:

We have

the rectangle 12ft × 6ft

two triangles with the base b = 12ft and the height h = 8ft

two triangles with the base b = 6ft and the height h = 9.5ft.

The formula of an area of a rectangle l × w:

Substitute:

The formula of an area of a triangle:

Substitute:

The Surface Area:

Substitute:

Total surface area of the pyramid = 225 ft²

Step-by-step explanation:

Total surface area of the given pyramid is defined by  

(Area of rectangular base) + 2(area of two triangular sides with height 8 ft and base 12 ft) + 2(area of two triangles with height 9.5 ft and base 6 ft)

Total surface area = (12×6) + 2[]+2[]

= 72 + 2[]+2[]

= 72 + 96 + 57

= 225 ft²

Therefore, total surface area of the pyramid is 225 ft²

answer: true

step-by-step explanation: