Question

I FORGOT IMAGE, please help me solve this!! 100 points!!

Answer 1

`\Large \boxed{\sf 384 \ m^2}`

Explanation:

Surface area ⇒ area of 2 triangles + area of 3 rectangles

`(8 * 3 * 0.5 * 2)+(20 * 5 * 2+20 * 8)=384`

Answer 2

Surface Area = 384 m²

Explanation:

The given figure is a triangular prism.

The surface area of a triangular prism is made up of:

• 2 congruent triangles (the bases of the prism).
• 3 rectangles.

From inspection of the diagram, the dimensions of the triangular bases are:

• Base = 8 m
• Height = 3 m

`\boxed{\begin{aligned}\textsf{Area of a triangle}&=(1)/(2) * \sf base * height\\\\\implies \textsf{Area of triangular base}&=(1)/(2) * 8 * 3\\&=4 * 3\\&=12\; \sf m^2 \end{aligned}}`

From inspection of the diagram, there are two congruent rectangles with dimensions:

• Length = 20 m
• Width = 5 m

and one rectangle with dimensions:

• Length = 20 m
• Width = 8 m

`\boxed{\begin{aligned}\textsf{Area of a rectangle}&=\sf width * length\\\\\implies \textsf{Area of rectangle 1}&=5 * 20\\&=100\; \sf m^2 \\\\\implies \textsf{Area of rectangle 2}&=8 * 20\\&=160\; \sf m^2\end{aligned}}`

Therefore, the total surface area of the given triangular prism is:

`\begin{aligned}\textsf{Total Surface Area}&=\sf 2\;Triangles + 2\;Rectangle\;1+Rectangle\;2\\& = 2 * 12+ 2 *100+160\\& = 24+200+160\\& = 224+160\\& = 384\; \sf m^2\\\end{aligned}`