Question

A factory makes candles. Each candle is in the shape of a triangular prism, as shown below. If the factory used 14,700 cm^3 of wax,how many candles did the factory make?

Answer 1

Explanation:

Step 1

First, we find the volume of one the triangular prism shaped candles.

The volume of a prism is calculated using the formula:

`V=\text{ Cross-Sectional Area}*\text{ Length}`

The cross section of the prism is a triangle with:

• Base = 10cm

,

• Height = 7cm

Length of the Prism = 6cm

Therefore:

`\begin{gathered} V=(1)/(2)bh* L \\ =(1)/(2)*10*7*6 \\ =210\;cm^3 \end{gathered}`

The volume of one of the candles is 210 cubic cm.

Step 2

Next, divide the volume of wax used by the factory by the volume of one candle.

`\text{Number of candles made}=(14700)/(210)=70`