Answer :
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
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