A triangular prism has base edges 2 cm, 6 cm, and 7 cm long. Its lateral area is 330 cm2. What is the height of the prism? cm. T
he height of the prism is (Simplify your answer.)
1 answer:
9514 1404 393
Answer:
22 cm
Step-by-step explanation:
The lateral area is the product of the perimeter and the height. The perimeter is the sum of side lengths.
P = a+b+c = (2 +6 +7) cm = 15 cm
LA = Ph
330 cm^2 = (15 cm)h . . . fill in the known values
h = (330 cm^2)/(15 cm) = 22 cm
The height of the prism is 22 cm.
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I hope this helps! Have a nice day :)
