Answer:
The surface area of the prism is 276 in.²
If you are also looking for the volume of the prism, it is 280.
Step-by-step explanation:
It's hard to find the surface area and the volume of the prism if you're just looking at the net of the 3D shape. There are some unnecessary measurements that will definitely throw you off. I drew a sample prism so it's easier to solve. Check the linked image.
The formula in finding the surface area of a prism is SA = 2(wl + hl + hw), where w is for width, l is for length, and h is for height. The point of all of these calculations is to find the area of 3 different faces of the prism and then you add up all of the areas and multiply the sum by 2 to give you the surface area. Looks a lot but it's worth getting the answer right.
The formula in finding the volume of the prism is V = w * h * l, where w is for width, h is for height, and l is for length. Simple multiplication of 3 different sides and you'll get the volume. I hope this helps and if I am wrong please let me know! :D
M+k because the subtraction sign and negative cancel out to become positive
The total length of the circle is calculated by the following formula:
Lenght = 2.π.r
As r = 4c
Then,
Lenght = 2.π.4
Lenght = 8π centimetrs
Now use the rule of 3
But we have to know:
...<..> ...
Then,
8π ________ 2π <= 360°
x ________ 3π
2π . x = 8π . 3π
x = (8π . 3π) / 2π
x = (8 . 3π)/ 2
x = 12π centimenters
x ~ 37,69 c