Our GardenOur Garden

The ProblemThe Problem We need to create a gardenWe need to create a garden We need to use different geometric shapesWe need to use different geometric shapes We need to use raised plantersWe need to use raised planters We need to fill the planters with soilWe need to fill the planters with soil We need to calculate the volume of each We need to calculate the volume of each

planterplanter We need to calculate the total amount of soil We need to calculate the total amount of soil

neededneeded

Our GardenOur Garden

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Shape #1Shape #1 The dimensions of the rectangular prism are 6 The dimensions of the rectangular prism are 6

feet wide by 12 feet long by 1 foot highfeet wide by 12 feet long by 1 foot high The volume of the rectangular prism is:

12x6x1 = 72 ft3

1

Shape #2Shape #2

The diameter of the cylinder is 8 ft and it is 1 The diameter of the cylinder is 8 ft and it is 1 foot highfoot high

The volume of the cylinder is:The volume of the cylinder is: π π 4422 (1) = 50.24 ft (1) = 50.24 ft22

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Shape #3Shape #3 The dimensions of the triangular prism are 9 The dimensions of the triangular prism are 9

feet high by 9 feet long by 1 foot high. The feet high by 9 feet long by 1 foot high. The hypotenuse is 12.73 feet.hypotenuse is 12.73 feet.

The volume of the triangular The volume of the triangular prism is:prism is:

[(9 x 9) /2] x 1 = 45 ft[(9 x 9) /2] x 1 = 45 ft33

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Shape #4Shape #4 The dimensions of the rectangular The dimensions of the rectangular

prism are 7 feet wide by 13 feet prism are 7 feet wide by 13 feet long by 1 foot high.long by 1 foot high.

The volume of the rectangular The volume of the rectangular prism is:prism is:

7 x 13 x 1 = 91 ft7 x 13 x 1 = 91 ft33

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Shape #5Shape #5 The legs of the triangular prism are both 10 The legs of the triangular prism are both 10

feet, the base is 8 feet, the height is 9 feet and feet, the base is 8 feet, the height is 9 feet and the depth is 1 foot.the depth is 1 foot.

The volume is:The volume is:[(8x9)/2] x 1 = 36 ft[(8x9)/2] x 1 = 36 ft22

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Final CalculationsFinal Calculations

The total amount of soil needed is:The total amount of soil needed is:72 + 50.24 + 45 + 91 + 36 = 294.24 ft72 + 50.24 + 45 + 91 + 36 = 294.24 ft33