Question

Find the surface area. Do not round please Formula: SA= p * h + 2 * b

Answer 1

The shape in the question has two hexagonal faces,

The Area of each of the heaxagonal faces is

`=42\text{ square units}`

The shape also has 6 rectangular faces with dimensions of

`8.2*4`

The area of a rectangle is gotten with the formula below

`\text{Area}=l* b`

By substituting the values, we will have

`\begin{gathered} \text{Area}=l* b \\ \text{Area}=8.2*4 \\ \text{Area}=32.8\text{square units} \end{gathered}`

To calculate The total surface area of the shape, we will add up the areas of the hexagonal faces and the rectangular faces

`\text{Surface area=}2*(area\text{ of hexagonal faces)+ 6(area of rectangular faces)}`

By substituting the values, we will have

`\begin{gathered} \text{Surface area=}2*(area\text{ of hexagonal faces)+ 6(area of rectangular faces)} \\ \text{Surface area}=(2*42)+(6*32.8) \\ \text{Surface area}=84+196.8 \\ \text{Surface area}=280.8\text{ square units} \end{gathered}`

Hence,

The Surface Area is = 280.8 square units