Question

Cam’s tent (shown below) is a triangular prism.

Answer 1

Answer:

21.4 m²

Step-by-step explanation:

To find the surface area of this whole triangular prism, we have to look at the bases (the triangles), find their surface area, then look at the sides (the rectangles) and find theirs.

Let's start with the triangles. The area of any triangle is $\frac{bh}{2}$. The base of this triangle is 2m (because there are 2 one meters) and the height is 1.7m.

$\frac{2\cdot1.7}{2} = \frac{3.4}{2} = 1.7$

So the area of one of these triangles is 1.7m. Multiplying this by two, because there are two triangles in this prism:

$1.7\cdot2=3.4$

Now let's find the area of the sides.

The side lengths are 2 and 3, so

$2\cdot3=6$, and there are 3 sides (including the bottom/floor) so $6\cdot3=18$.

Now we add.

$18+3.4=21.4$ m².

Hope this helped!