Question

This asks for surface area. How do I do this?

Answer 1

To find the surface area we can find the area of each face and sum them

the we find the area of each face, whe have 3 triangles around and a triangle on base

Triangles around are the same triangle then I calculate one area

area

`\begin{gathered} A=(b* h)/(2) \\ \\ A=(6*7.2)/(2) \\ \\ A=(43.2)/(2)=21.6 \end{gathered}`

area of this face is 21.6sqaure yd

Base triangle

area

`\begin{gathered} A=(b* h)/(2) \\ \\ A=(6*5.2)/(2) \\ \\ A=(31.2)/(2)=15.6 \end{gathered}`

area of this face is 15.6 sqaure yd

Surface

we sum the area of each face, 3 Frist triangles and the triangle of the base

`\begin{gathered} S=3(21.6)+15.6 \\ S=64.8+15.6 \\ S=80.4 \end{gathered}`

Total surface area is 80.4 square yards