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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 6 cm and the height of the pyramid is 9 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Devin need in order to make the candle? Show your work.

Respuesta :

musiclover10045

The volume of the square pyramid is 6 x 6 x 9/3 = 108 cubic cm.

Volume of the cube = 4 x 4 x 4 = 64 cubic cm

Number of cubes needed: 108/64 = 1 11/16 cubes (1.6875)

msm555

Answer:

Solution given:

square pyramid

each side of base[b]=6cm

height[h]=9cm

Volume of square pyramid[V]=[tex] \frac{1}{3 } {b}^{2} h \\ \frac{1}{3} {6}^{2} \times 9 = 108cm ^{3} [/tex]

now

length of cube [l]=4cm

volume of cube[v]=l³=4³=64cm³

now

no of wax needed=[tex] \frac{V}{v} [/tex]=[tex] \frac{108cm³}{64cm³} [/tex]=[tex] \frac{27}{16 } =1\frac{11}{16} [/tex]

is needed.

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