What is the surface area of this composite solid?
square feet

let's take a peek
we really have a rectangular prism below a square pyramid.
the prism has a front, back, left and right of a rectangle 2x11 .
its bottom or base is an 11x11 square.
the pyramid 4 triangles, each one has a base of 11 and a height of 7.
[tex]\bf \stackrel{\textit{front, back, left, right}}{4(2\cdot 11)}~~+~~\stackrel{\textit{base}}{(11\cdot 11)}~~+~~\stackrel{\textit{four triangles}}{4\left[ \cfrac{1}{2}(11)(7) \right]} \\\\\\ 88+121+154\implies 363[/tex]
Answer:
The surface area of composite solid = 363 ft²
Step-by-step explanation:
Points to remember
Area of rectangle = Length * Breadth
Area of triangle = bh/2
Where b - Base and h - Height
To find the surface area of composite solid
Surface area = Base area + side area + area of 4 triangles
= (11 * 11) + 4(11 * 2) + 4(11 * 7)/2
= 121 + 88 + 154
= 363 ft²
Therefore the surface area of composite solid = 363 ft²