Name: Class Period: Math Models Packet. This packet is due Friday 4/28/17. Application of 3D Solids.
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1 Name: Class Period: Math Models Packet This packet is due Friday 4/8/ HW 4/4/017 Application of 3D Solids Homework: HW 1 4/5/017 Change in Dimensions Homework: HW Wednesday 4/6/017 Change in Dimensions Day Homework: HW 3 4/7/017 Homework: Review Finish review & study TEST 4/8/017 Homework: Relax :) Warm Up Final Weekly HW Grade:
2 Monday: 1 st Attempt (DO NOT ERASE) Tuesday: 1 st Attempt (DO NOT ERASE) Wednesday: 1 st Attempt (DO NOT ERASE) Thursday: 1 st Attempt (DO NOT ERASE) Friday: 1 st Attempt (DO NOT ERASE) Warm Up Expectations: Try warm up problem(s) on your own on the First Attempt side. Politely request teacher signature when complete before timer goes off. Copy the correct work/solution in the right-hand box. Ask questions When absent Write the word ABSENT on the first attempt column for points. Copy the correct solution from a shoulder partner on the correct solution column for 1 point. 1 Warm Up Daily Scores Guide: Complete first attempt Teacher signature 3 Completed correct solution Two of the three listed One of the three listed 1 None of the three listed 0
3 MMA Unit 9 - Geometry Homework #1 Applications of 3D Solids Name Period Date 1. A standard 0 gallon aquarium tank is a rectangular prism that holds approximately 4600 cubic inches of water. The bottom glass needs to be 4 inches by 1 inches to fit on the stand. Find the height of the aquarium tank.. A birthday gift is 55 cm long, 40 cm wide and 5 cm high. You have one sheet of wrapping paper that is 75 cm by 100 cm. Is the paper large enough to wrap the gift? Explain. 3. Find the expression that can be used to determine the volume of the composite figure shown below. A. B. C. D. V lwh r h V r h lwh V r h lwh V lwh r h 4. Find the total surface area and volume of the prism shown below. 5. A paper cone for serving roasted almonds has a volume of 08 cubic centimeters. If the radius of the cone is 4 meters, find the height of the cone.
4 Math Models: Unit 9 Geometry Homework # Change in Dimensions Day 1 Name Date Period Suppose that the two right rectangular prisms to the right are similar. 1. Find the ratio of the surface areas of the prisms.. If the volume of the large prism is 54 cm 3, find the volume of the small prism. 3 ft ft 3. If the surface area of the small prism is 100 cm, find the surface area of the large prism. 4. If two cubes have volumes that are in the ratio of 15 to 343, find the ratio of their areas. 5. The altitudes of two similar cones are in the ratio of 3 to 5 and the surface area of the larger cone is 500 cm. Find the surface area of the smaller cone. 6. A rectangular prism has a volume of 344 cubic units. Find its volume if two dimensions were tripled, and a third dimension was doubled. 7. If the volume of a rectangular prism is 560 cubic units, what is its volume if one dimension is halved, a second dimension is reduced to one-fourth its original length, and a third dimension remains unchanged?
5 Math Models: Unit 9 Geometry Homework #3 Change In Dimensions Day Name Date Period 1. Suppose the volume of a cube is 54 3 cubic centimeters. What would be its new volume if one of its dimensions was halved, a second dimension was doubled, and a third dimension did not change?. There are 750 toothpicks in a regular-sized box. If a jumbo box is made by doubling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold? 3. A cylinder with a 4-in diameter and a 6-in height holds 1 lb of oatmeal. To the nearest ounce, how much oatmeal will a similar 10-in high cylinder hold? (Hint: 1 lb = 16 oz) 4. The Hood Milk Bottle building is located in front of the Boston Children s Museum in Boston, Massachusetts. It is 40 feet tall with a concession stand built inside. A similar bottle that is 10 in. high holds 34 oz of milk. To the nearest ounce, how much milk could the building hold? 5. A company packages their product in two sizes of cylinders. Each dimension of the larger cylinder is twice the size of the corresponding dimension of the smaller cylinder. Based on this information, which of the following statements is true? A The volume of the larger cylinder is times the volume of the smaller cylinder. B The volume of the larger cylinder is 4 times the volume of the smaller cylinder. C The volume of the larger cylinder is 8 times the volume of the smaller cylinder. D The volume of the larger cylinder is 6 times the volume of the smaller cylinder.
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