Question

PLEASE HELP IT'S DUE TODAY-

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

Bonus Question: What percentage of the container is empty space? Show all work and give answers to 2 decimal places.

Answer 1

1. 76017.69 mm^2 or 76.02 m^2

2. 631332.52 mm^3 or 631.33 m^3

Explanation:

1. The equation for the surface area of an equilateral trianglula prism is

2 * ( ( sqrt(3) / 4 ) * s^2) + 3( h * s )

2 * ( ( sqrt(3) / 4 ) * 60^2) + 3( 405 * 60 )

76017.69 mm^2 or 76.02 m^2

2. The equation for the volume of an equilateral trianglula prism is

( sqrt(3) / 4 ) * s^2 * h

( sqrt(3) / 4 ) * 60^2 *405

631332.52 mm^3 or 631.33 m^3