1. Our Garden

2. The Problem We need to create a garden We need to create a garden We need to use different geometric shapes We need to use different geometric shapes We need to use raised planters We need to use raised planters We need to fill the planters with soil We need to fill the planters with soil We need to calculate the volume of each planter We need to calculate the volume of each planter We need to calculate the total amount of soil needed We need to calculate the total amount of soil needed

3. Our Garden 3 5 1 2 4

4. Shape #1 The dimensions of the rectangular prism are 6 feet wide by 12 feet long by 1 foot high The dimensions of the rectangular prism are 6 feet wide by 12 feet long by 1 foot high The volume of the rectangular prism is: 12x6x1 = 72 ft 3 1

5. Shape #2 The diameter of the cylinder is 8 ft and it is 1 foot high The diameter of the cylinder is 8 ft and it is 1 foot high The volume of the cylinder is: π 4 2 (1) = 50.24 ft 2 The volume of the cylinder is: π 4 2 (1) = 50.24 ft 2 2

6. Shape #3 The dimensions of the triangular prism are 9 feet high by 9 feet long by 1 foot high. The hypotenuse is 12.73 feet. The dimensions of the triangular prism are 9 feet high by 9 feet long by 1 foot high. The hypotenuse is 12.73 feet. The volume of the triangular prism is: [(9 x 9) /2] x 1 = 45 ft 3 The volume of the triangular prism is: [(9 x 9) /2] x 1 = 45 ft 3 3

7. Shape #4 The dimensions of the rectangular prism are 7 feet wide by 13 feet long by 1 foot high. The dimensions of the rectangular prism are 7 feet wide by 13 feet long by 1 foot high. The volume of the rectangular prism is: 7 x 13 x 1 = 91 ft 3 The volume of the rectangular prism is: 7 x 13 x 1 = 91 ft 3 4

8. Shape #5 The legs of the triangular prism are both 10 feet, the base is 8 feet, the height is 9 feet and the depth is 1 foot. The legs of the triangular prism are both 10 feet, the base is 8 feet, the height is 9 feet and the depth is 1 foot. The volume is: [(8x9)/2] x 1 = 36 ft 2 The volume is: [(8x9)/2] x 1 = 36 ft 2 5

9. Final Calculations The total amount of soil needed is: 72 + 50.24 + 45 + 91 + 36 = 294.24 ft 3 The total amount of soil needed is: 72 + 50.24 + 45 + 91 + 36 = 294.24 ft 3