At the base of a straight prism lies a square with an area of 64 cm square.
| September 10, 2021 | education
At the base of a straight prism lies a square with an area of 64 cm square. The height of the prism is 5 cm. Calculate the area of its total surface.
Since there is a square at the base of the prism, knowing its area, we determine the length of the side of the square.
AB = BC = CD = A1D1 = A1B1 = B1C1 = C1D1 = A1D1 = √Skv = √64 = 8 cm.
Let us determine the area of the lateral surface of the prism: Sside = P * AA1, where P is the perimeter of the square at the base of the prism. P = 4 * AB = 4 * 8 = 32 cm.
Side = 32 * 5 = 160 cm2.
Determine the total surface area.
Spol = 2 * Sb + S side = 2 * 64 + 160 = 288 cm2.
Answer: The total surface area of the prism is 288 cm2
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