Question

A chocolate manufacturer packages chocolate bars in cardboard prisms whose bases are equilateral triangles. Each base measures 3 cm on a side. If the container is 18 cm long, how many cubic centimeters of chocolate will it hold?

Answer 1

The container will hold 70.14 cubic cm of chocolate.

Explanation:

The base of the prisms are equilateral triangles.

Each base measures 3 cm on a side.

The length of the container = 18 cm

Area of the equilateral triangle is given by :

`(√(3))/(4) * a^(2)`

a = 3 so area =
`(√(3))/(4) *9` = 3.897 cm square

And volume will be
`3.897*18=70.14` cubic cm.

So, the container will hold 70.14 cubic cm of chocolate.