One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l
1 answer:
You have two unknowns - the number of people (P) and the number of horses (H). You can set up two equations to solve for these two unknowns. Every person and every horse has 1 head, so:
Also, every person has 2 legs but every horse has 4 legs, so:
We can now solve by rearranging the first equation (H = 74 - P), and subbing that value into the second equation:
Also, every person has 2 legs but every horse has 4 legs, so:
We can now solve by rearranging the first equation (H = 74 - P), and subbing that value into the second equation:
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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
