How can I find the surface area of this solid? I know that the area of the front and back is $8·10$, and that the area of the top and bottom is $8·6$, but I'm not sure how to find the area of the right and left sides. Thanks.
2 Answers
$\begingroup$
$\endgroup$
Hint: the right and left sides are rectangles. You just have to find the side lengths.
$\begingroup$
$\endgroup$
If $s$ is the length of the side of the front face, then you know that
$$ \frac{10}{s}=\sin60^\circ$$
You already know the base of the right and left faces is $6$. So with that and the value of $s$ you can find the area.