1. Angela 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 8 cm and the height of the pyramid is 9 cm. To get the wax for the candle, Angela melts blocks of wax that are each 2 cm by 2 cm by 2 cm. How many of the wax blocks will Angela need in order to make the candle? (Note: make sure you are showing the formulas you use to answer the question and how the numbers fit into the formulas).

The formula of the volume of the square pyramid is V = [tex]\frac{1}{3}[/tex] l² h, where l is the length of the side of its base and h is its height
The formula of the volume of a cube is V = s³, where s is the length of the edge of the cube

∵ Angela is making a candle in the shape of a square pyramid

∵ Each side of the base of the pyramid is 8 cm

∴ l = 8 cm

∵ The height of the pyramid is 9 cm

∴ h = 9 cm

- Use the first formula above to find the volume of the candle

∵ V = [tex]\frac{1}{3}[/tex] (8)²(9)

∴ V = 192 cm³

∴ The volume of the candle is 192 cm³

∵ Angela melts blocks of wax that are each 2 cm by 2 cm by 2 cm

∴ s = 2 cm

- Use the second formula above to find the volume of each

wax block

∵ V = (2)³

∴ V = 8 cm³

∴ The volume of each wax block is 8 cm³

To find the number of wax blocks she needs to make the candle divide the volume of the candle by the volume of each wax block

∵ The number of wax blocks = 192 ÷ 8

∴ The number of wax blocks = 24

Angela will need 24 wax blocks to make the candle

Learn more:

You can learn more about the pyramids in brainly.com/question/3749935

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