Question 1158208
Kevin is making a set of candles to give as a gift.
 The first candle is a triangular prism with a height of 17 centimeters.
 The base has legs measuring 11 centimeters and 12 centimeters.
 The hypotenuse is about 16.3 centimeters.
Kevin makes a second candle shaped like a triangular prism, with the same height as the first candle.
 The base is a triangle similar to the base of the first candle, except with the 
 shorter leg 2 centimeters longer than the shorter leg of the first candle.
 What are the side lengths of the base of the second candle in centimeters?
:
In similar triangles, the relationship between corresponding side is the same.
Short side: 13/11, find side b and c of the 2nd triangle
{{{13/11}}} = {{{b/12}}}
cross multiply
11b = 12*13
b = {{{156/11}}}
b = 14.18
and
{{{13/11}}} = {{{c/16.3}}}
11c = 16.3*13
c = {{{211.9/11}}}
c = 19.26
ans: 13, 14.18, 19.26
:
:
Kevin then makes several cone-shaped candles.
 He uses a cone mold that has a height of 15 centimeters and a diameter of 10 centimeters.
 How many cubic centimeters of wax is needed to make 3 cone-shaped candles?
:
The volume of a cone: V = {{{1/3}}}{{{pi*r^2*h}}}
 the radius: 10/2 = 5 cm
V = 3*{{{1/3}}}{{{pi*5^2*15}}}
V = 1178.1 for three candles (your ans was for only 1 candle)