A triangular prism measures 81 cm long. Its cross section is an equilateral traingle with a base of 16 centimeters and a height of 14 cm. Find the surface area of this triangular prism.

Answer 1

Surface area of a prism:
SA = (area of the base) + (lateral area)
Imagine the shape. Triangular prism is the shape of a toblerone box. So,
SA = 2*(area of triangle) + 3*(area of rectangle)

Recall that area of triangle is just
A = bh/2
And area of rectangle is
A = lw

Therefore,
SA = 2(16)(14)/2 + 3(81)(16)
SA = ?

Units in cm^2. Hope this helps~ `u`