Question

Does anyone know how to do this. Surface area of prisms and cylinders

Answer 1

The Total Surface Area of the Prism is;

`706.4ft^2`

Step-by-step explanation:

Given the Prism in the attached image;

We want to find the total surface area T;

`T=(a+b+c+d)l+(a+c)h`

where;

`\begin{gathered} a,b,c,d\text{ are the sides of the trapezium} \\ a=19ft \\ b=14ft \\ c=5ft \\ d=14ft \\ l=\text{length} \\ l=8ft \\ h=\text{height of trapezium} \\ h=12.1ft \end{gathered}`

Substituting the given values;

`\begin{gathered} T=(a+b+c+d)l+(a+c)h \\ T=(19+14+5+14)8+(19+5)12.1 \\ T=(52)8+(24)12.1 \\ T=416+290.4 \\ T=706.4ft^2 \end{gathered}`

Therefore, the Total Surface Area of the Prism is;

`706.4ft^2`