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.