Question

Find the total surface area.prisms 6A. 900 cm²B. 731 cm²C. 649 cm²D. 770 cm²

Answer 1

Given the figure below:

The surface area of the figure (square base prism) is expressed as

`\begin{gathered} surface\text{ area = 2A}^2\text{+4AH} \\ where \\ A\Rightarrow base\text{ edge} \\ H\Rightarrow height \end{gathered}`

From the above figure, we have

`\begin{gathered} A=11\text{ cm} \\ H=12\text{ cm} \\ A\text{ = 2\lparen11\rparen}^2+4(11*12) \\ =2(121)+2(132) \\ =242+528 \\ =770\text{ cm}^2 \end{gathered}`

Hence, the surface area of the figure is

`770\text{ cm}^2`

The correct option is D