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What is the surface area of the right prism given below?

A. 456 units2
B. 504 units2
C. 552 units2
D. 912 units2

What is the surface area of the right prism given below? A. 456 units2 B. 504 units-example-1

2 Answers

5 votes

Answer:

B. 504 units²

Explanation:

We multiply 6 and 8, we don't need to divide by 2 since there are two congruent triangles. That gets us 48. Now, we multiply 19 and 8. That gets us 152. Now, we multiply 6 and 19. That gets us 114. We have found the area of all sides but one. To do this one, we need to calculate the hypotenuse of the triangle. The following screenshot has the formula to calculate hypotenuse. If a is equal to 6, and b is equal to 8, we can do this formula. 6² is 36, and 8² is 64. Now, we add 36 and 64. That gets us 100. The square root of 100 is 10. That means the hypotenuse of this triangle is 10. Now, we multiply 10 and 19 to get 190. Now, we add up the area of all the sides (48 + 152 + 114 + 190). That gets us 504. That means B is our answer.

What is the surface area of the right prism given below? A. 456 units2 B. 504 units-example-1
User Venemo
by
5.4k points
6 votes
It’s B because it’s B
User Tyler B
by
5.5k points