Question

What is the lateral and total surface area of the lrism solve for both

Answer 1

$\text{lateral area=324 mm}^2$$totalarea=428mm^2$

Explanation

Step 1

the lateral are is compounded by rectangles 1, 2, 3, and 4

$\begin{gathered} \text{lateral are=(13 }\cdot6)+(6\cdot14)+(13\cdot6)+(14\cdot6) \\ \text{lateral area=}78+84+78+84 \\ \text{lateral area=324 mm}^2 \end{gathered}$

Step2

the total area,

add rectangles 5 and 6 to get the total area

$\begin{gathered} total\text{ area=324 mm}^2+(13\cdot4)+(13\cdot4) \\ total\text{ area=324 mm}^2+52+52 \\ totalarea=428mm^2 \end{gathered}$