Question

Not sure how to calculate this last one can anyone help ?

Answer 1

The area of the regular triangular prism is given by the formula:

`A=s((√(3))/(2)s+3h)`

Where:

s = side of the triangle = 4root(3)

h = the height = 9

Substitute the values:

`A=4√(3)((√(3))/(2)*4√(3)+3*9)`

Simplify:

`\begin{gathered} A=4√(3)((3*4)/(2)+27)=4√(3)((12)/(2)+27)=4√(3)(6+27)=4√(3)(33) \\ A=228.6\approx229\text{ units}^2 \end{gathered}`

Answer: 229 units²