Question

Lisa's favorite chocolate candies are wrapped in the shape of a triangular prism with shiny gold paper as shown below. if all sides of the package are covered in the gold paper, what is the surface area of the mount that is wrapped?

Answer 1

it is 96.
triangular part:
1/2 a* g = 1/2 * 8 * 3 = 12 = d
c = √(3²+(8/2)²)=5
square part:2*c + 2*b = 7*2 + 5 * 2 = 24 = e
since you have 2x triangular and 3x squares

2*d+ 3*e = 96

Answer 2

150 cm squares

Explanation:

Let us see the formula for surface area of a rectangular prism

SA = bh+2ls+lb

where l is length = 7 cm

b is the base = 8 cm

h is the height = 3 cm

s is the slant height =

`s=\sqrt{((base)/(2))^2+h^2}`

`s=√(4^2+3^2)`

`s=√(25)`

`s=5`

now replacing these values in formula we get

SA = 8*3+2*7*5+7*8

SA=24+70+56

SA=80+70

SA=150

Hence the surface area of the wrapper will be 150 Cm squares