Given a straight triangular prism ABCA1B1C1, in which AB = 16 cm, AC = 10 cm, angle BAC = 60 degrees.

univerkov | December 15, 2020 | education

Given a straight triangular prism ABCA1B1C1, in which AB = 16 cm, AC = 10 cm, angle BAC = 60 degrees. Find the total surface area of the prism if the diagonal of the side face AA1B1B is 20 cm.

is solved by the formula. replace the letters with numbers and solve.
Sn = 2So + Sb
2So = 2 * (1/2 * 16 * 10 * sin60 °) = 160√3
Sb = 16 * H
H = √20²-16² = 12
Sb = 16 * 12 = 192
Sn = 160√3 + 192

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