Question

1. Use formulas to find the lateral area and surface area of the given prism. round your answer to the nearest whole number. this figure is not drawn to scale.

A) 472m^2; 486 m^2
B) 443m^2; 486m^2
C) 472m^2; 479m^2
D) 443m^2; 500m^2

Answer 1

The answer is A) 472m^2; 486 m^2.

Let a, b, and c be the sides of the base and h be the height of the prism
a = 2 m
b = 7 m
c = 7.28 m
h = 29 m

The lateral surface area is:
LA = a*h + b*h + c*h = h * (a + b + c)
LA = 29 * (2 + 7 + 7.28) = 29 * 16.28 ≈ 472 m²

The surface area is:
SA = LA + 2 * 1/2 * a * b
SA = 472 + 2 * 7 = 472 + 14 = 486 m²