1. Anna is making a sculpture in the shape of a triangular prism. The triangular bases have sides of length 10 m, 10 m , and 12 m and height of 8 m. She wants to coat the sculpture in a special finish that will preserve it longer. If the sculpture is 5 m thick, what is the total area she will have to cover with the finish ?

Question

48 m
96 m
256 m
480 m

Answer 1

This question is just as confusing now as when you posted it earlier.
First of all that is one huge sculpture!
None of your choices are in square metres.

Its surface area consists of 2 congruent isosceles triangles and 3 rectangles
The rectangles are 10*8 + 10*8 + 12*8
= 256 m^2
For the base we need the height with 12 as its base
By Pythagoras, h^2 + 6^2 = 10^2
h = 8
So the area of one triangle = (1/2)(base)(height)
= (1/2)(12)(8) = 48
so the area of the two triangles is 96 m^2 for a total of
256 + 96 or 352 m^2 , not one of the choices.

I have no clue what it meant by "the sculpture is 5 m thick means"

Curious to know what kind of textbooks Connexus uses.

Answer 2

@mathhelper great job solving in but the answer is 256 so you might want to relook your work.