Pyramidal 44061

A pyramidal candle with a square base has a side edge of s = 12 cm and a base edge of 4 cm. How much wax will we need to make it, and how long is the wick if it is 5% bigger than its height?

Correct answer:

V =  62.1968 cm3
x =  12.245 cm

Step-by-step explanation:

s=12 cm a=4 cm  S1=a2=42=16 cm2  u=2 a=2 4=4 2 cm5.6569 cm  h=s2(u/2)2=122(5.6569/2)2=2 34 cm11.6619 cm  V=31 S1 h=31 16 11.6619=62.1968 cm3
q=100%+5%=1+1005=1.05  x=q h=1.05 11.6619=12.245 cm

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