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A factory makes candles. Each candle is in the shape of a triangular prism, as shown below. If the factory used 15,552 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-example-1

2 Answers

3 votes

In order to find how many candles factory has made, we need to first find out how much volume of wax is required to make a single candle of the shape triangular prism.

So, first we need to find out the volume of triangular prism which is given by multiplying the area of the triangle and the length of the triangular prism.

From the figure, we can notice that :

Base of the triangle = 9 cm

Height of the triangle = 6 cm

We know that : Area of a triangle is given by : 1/2 × Base × Height

⇒ Area of the triangle = 1/2 × 9 × 6 = 27 cm²

⇒ Volume of the triangular prism = Area of the triangle × Length

From the figure, we can notice that :

Length of the triangular prism = 8 cm

⇒ Volume of the triangular prism = 27 × 8 = 216 cm³

It means : The factory needs 216 cm³ volume of wax to make one candle

Given : The factory used 15552 cm³ of wax


\implies \sf{\textsf{Total number of candles factory made} = (15552)/(216)}


\implies \sf{\textsf{Total number of candles factory made} = 72}

User Ianis
by
7.7k points
5 votes

Answer:

72 candles

Explanation:

15 552 ÷ 27×8

=72

User RFV
by
6.1k points
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