In a straight triangular prism, the base is a right-angled triangle with rolls of 16cm and 12cm, the lateral edge
| February 15, 2021 | education
In a straight triangular prism, the base is a right-angled triangle with rolls of 16cm and 12cm, the lateral edge of the prism is 7cm. find the total surface area of the prism.
Determine the area of the base of the prism.
Sbn = ВС * АС / 2 = 12 * 16/2 = 96 cm2.
By the Pythagorean theorem, we determine the length of the hypotenuse AB at the base of the prim.
AB ^ 2 = AC ^ 2 + BC ^ 2 = 256 + 144 = 400.
AB = 20 cm.
Let’s define the perimeter of the triangle ABC.
Ravs = (AB + BC + AC) = (20 + 12 + 16) = 48 cm.
Let us determine the area of the lateral surface of the prism.
Sside = Ravs * CC1 = 48 * 7 = 336 cm2.
Determine the total surface area of the prism.
Sпов = 2 * Sсн + S side = 2 * 96 + 336 = 528 cm2.
Answer: The total surface area is 528 cm2.
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