Question

The Toblerone company packages chocolate candy in a container that is a triangular prism. The base is an

equilateral triangle and each side of the triangle is 60 mm. The height of the triangular prism is 405 mm.
1) What is the total surface area of this triangular prism? Show all work and give answers to 2 decimal
places
2) What is the volume of this triangular prism? Show all work and give answers to 2 decimal places
3) If the chocolate inside the package is 335954.96 mm3,how much empty volume/space is inside the
container? Show all work and give answers to 2 decimal places

Answer 1

76017.69 mm²

631000 mm³

295045.04 mm³

Explanation:

Surface area = bh + 2ls + lb

Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each

Height = 405 mm

The surface area of triangular = 76017.69 mm

The volume of triangular prism :

1/2 * base * height * length

Volume = 631000 mm³

If amount of chocolate inside = 335954.96 mm3

Empty space =

Volume of triangular prism - amount of chocolate inside

631000 - 335954.96

= 295045.04 mm³