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maks197457 [2]
2 years ago
13

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 pyrami

d 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.
Mathematics
2 answers:
Nimfa-mama [501]2 years ago
7 0

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)

Stolb23 [73]2 years ago
6 0

Answer:

Solution given:

square pyramid

each side of base[b]=6cm

height[h]=9cm

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

now

length of cube [l]=4cm

volume of cube[v]=l³=4³=64cm³

now

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

is needed.

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