The base area of a regular quadrangular prism is 16 cm2, and its total surface area is 112 cm2. find its height?
| July 7, 2021 | education
Since the prism is correct, there is a square at its base. Knowing the area of the base, we determine the length of the side of the square.
AB = √Sbn = √16 = 4 cm.
Let us determine the area of the lateral surface of the prism.
Sside = Sпов – 2 * Sсн = 112 – 2 * 16 = 80 cm2.
Sside = Ravsd * AA1.
AA1 = S side / Ravsd = 80/4 * 4 = 5 cm.
Answer: The height of the prism is 5 cm.
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