Answered

Find solutions to your questions with the help of IDNLearn.com's expert community. Discover reliable and timely information on any topic from our network of experienced professionals.

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?

A Factory Makes Candles Each Candle Is In The Shape Of A Triangular Prism As Shown Below If The Factory Used 14700 Cm3 Of Waxhow Many Candles Did The Factory Ma class=

Sagot :

Answer:

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:

[tex]V=\text{ Cross-Sectional Area}\times\text{ Length}[/tex]

The cross section of the prism is a triangle with:

• Base = 10cm

,

• Height = 7cm

Length of the Prism = 6cm

Therefore:

[tex]\begin{gathered} V=\frac{1}{2}bh\times L \\ =\frac{1}{2}\times10\times7\times6 \\ =210\;cm^3 \end{gathered}[/tex]

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.

[tex]\text{Number of candles made}=\frac{14700}{210}=70[/tex]

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.