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Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 10 cm and the height of the pyramid is 11 cm. To get the wax for the candle, Devin melts cubes of wax that are each 3 cm by 3 cm by 3 cm. What is the minimum number of wax cubes Devin will need in need in order to make the candle? Show your work. Please explain.

Respuesta :

carlosego
The first thing you should do in this case is to calculate the volume of the square pyramid, which will be given by:
 V = (Ab * h) / 3
 Where,
 Ab: Area of the base.
 h: height of the pyramid.
 Substituting the values we have:
 V = ((10 * 10) * (11)) / 3
 V = 366.6666667 cm ^ 3
 We now calculate the volume of each cube, which will be given by:
 V '= L ^ 3
 Where,
 L: sides of the cubes.
 Substituting we have:
 V '= (3) ^ 3
 V '= 27 cm ^ 3
 The number of cubes will be:
 N = (V) / (V ')
 N = (366.6666667) / (27)
 N = 13.58024691
 Answer: 
 the minimum number of wax cubes Devin will need is 13 in order to make the candle