Question

Determine the surface area of a prism with a triangular base. The base is an isosceles triangle with a base length of 12 in. and a height of 8 in. The height of the prism is 14 in.(1 point)
in.2

Answer 1

Triangle area = 1/2·12·8 = 48 in^2. The equal sides = sqrt(6^2+8^2)=10 in, so perimeter = 12+10+10=32 in.
Lateral area = perimeter·prism height = 32·14 = 448 in^2.
Total surface area = 448 + 2·48 = 448 + 96 = 544 in^2.