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?

Respuesta :

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 :

[tex]\frac{\sqrt{3}}{4} \times a^{2}[/tex]

a = 3 so area = [tex]\frac{\sqrt{3}}{4} \times9[/tex] = 3.897 cm square

And volume will be [tex]3.897\times18=70.14[/tex] cubic cm.

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

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