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Free_Kalibri [48]
3 years ago
7

Anthony has two cube-shaped pots with an interior edge length of 8 inches and two cube-shaped pots with an interior edge length

of 6.5 inches. He wants to fill each pot full of potting soil. His bag of potting soil is one cubic foot. How much soil will he have left after he fills each pot full of soil?
Please help me!!!
Mathematics
1 answer:
weqwewe [10]3 years ago
6 0

He will have left 154.75 inches³ after he fills each pot full of soil

Step-by-step explanation:

The formula of the volume of a cube is V = s³, where s is the length of its side.

Remember:

  • 1 foot 12 inches
  • 1 foot² = (12)² inches² = 144 inches²
  • 1 foot³ = (12)³ inches³ = 1728 inches³

∵ Anthony has two cube-shaped pots with an interior edge

  length of 8 inches

∴ s = 8

- use the formula of the volume

∴ The volume of each pot = (8)³ = 512 inches³

∴ The volume of the two pots = 512 × 2 = 1024 inches³

∵ He has another two cube-shaped pots with an interior edge

  length of 6.5 inches

∴ s = 6.5

∴ The volume of each pot = (6.5)³ = 274.625 inches³

∴ The volume of the two pots = 274.625 × 2 = 549.25 inches³

∵ He wants to fill each pot full of potting soil

- The volume of soil he uses to fill the 4 pots is equal the volume

  of the four pots

∵ The total volume of pots = 1024 + 549.25 = 1573.25 inches³

∴ The total soil he uses = 1573.25 inches³

∵ His bag of potting soil is one cubic foot

∵ 1 cubic feet = 1728 cubic inches

- To find the quantity of soil he not used subtract the total volume

    of the 4 pots from the volume of the soil in his bag

∴ The soil he will left = 1728 - 1573.25 = 154.75 inches³

He will have left 154.75 inches³ after he fills each pot full of soil

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

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