Lucia is wrapping packages that are in the shape of a triangular prism. The net of the prism is shown below: ( Help me answer this and ignore what I wrote on the paper)
![Lucia is wrapping packages that are in the shape of a triangular prism The net of the prism is shown below Help me answer this and ignore what I wrote on the pa class=](https://us-static.z-dn.net/files/db5/06eb66466a83e5cd5e425fe17e7ff2aa.png)
Answer:
The total surface area of all 6 prisms is 6336 in^2.
Step-by-step explanation:
Let's find the surface area of ONE prism and then multiply that result by 6 to obtain the final answer.
One prism:
The area of the two 13 in by 26 in rectangular tabs is 2(13 in)(26 in), or 676 in^2 (subtotal);
The area of the two triangles of base 10 in and height 12 in is 2([1/2][10 in][12 in], or 120 in^2; and, finally,
The area of the 10 in by 26 in base is 260 in^2.
The total surface area of ONE prism is thus:
676 in^2 + 120 in^2 + 260 in^2, or 1056 in^2.
Now, because there are 6 of these prisms, multiply this last result by 6:
6(1056 in^2) = 6336 in^2.
The total surface area of all 6 prisms is 6336 in^2.