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

Answer:

The container will hold 70.14 cubic cm of chocolate.

Step-by-step 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 :

$\frac{\sqrt{3}}{4} \times a^{2}$

a = 3 so area = $\frac{\sqrt{3}}{4} \times9$ = 3.897 cm square

And volume will be $3.897\times18=70.14$ cubic cm.

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