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Warm UpThese are the bases for cylinders and prisms that are 10cm in height. Find the volume. Use 3.14 for π.
18.6cm1. 2. 3.
4.
32 cm
30 cm
34 cm
12 cm8 cm
8.6cm5. A prism had a volume of 711 cm3 with a height of 9 cm. What is the area of its base?
Activity:1.) Estimate the area of the base of your irregular prismlike object using inch x inch graph paper. _______________2.) If your prismlike object was one in tall, how many 1inch cubes would be needed to fill the container? _______________
Find others in the room that have the same prismlike object that you do.3a.) How many are similar to yours?_________ 3b.) Discuss with new your partners the estimates you found for the area of the base. Agree one estimate and record that estimate in the blank provided.
_______________
3c.) If you were to stack all your group's prismlike objects one on top of the other, how many 1inch cubes would be needed to fill this prismlike object? Show your work!
_______________
3d.) In words, explain how you got your answer.
4.) Measure the actual height of your prismlike object. Calculate the volume of your irregular prismlike object. Show your work!
_______________
The formula for finding volume of prism, cylinders, and prismlike objects is the same:Volume = (Area of the Base Shape)(Height of the "prism")
or V = BH
Lesson 6.2C #117Volume of PrismLike Objects & Backtracking
where B is the area of the base and H is the height of the "prism"
Find the volume of the following prisms and prismlike objects.
5.) Area of the base = 16 in2 Height = 2 in
Volume = ___________
8.) Area of the base = 28 in2 Height = 3 in
Volume = ___________
7.) Area of the base = 0.7 in2 Height = 0.8 in
Volume = ___________
6.) Area of the base = 9.2 in2 Height = 8 in
Volume = ___________
I can calculate volume and surface area. 7.3.1.2
10.) A heart cake pan has needs 175 inch2 of parchment paper to cover the bottom of the pan (area of the base) and holds 455 inch3 of batter (volume). What is the height of the pan?
Backtracking when you know volume.
12.) Mr. Mueller's daughter Harper wanted a Mickey Mouse cake for 5th birthday. The area of the pan's base is 145 inch2. The pan holds 493 inch3 of batter. What is the height of the pan?
11.) Mrs. Weise is celebrating pi day (March 14) with a pecan pi. The pan holds 369 in3 and it has a height of 2.25 in. What is the area of the base?
13.) Mrs. Whitmore's son is celebrating his dog's birthday with a bone shaped cake. The pan has a height of 3.4 inches and holds 391 cubic inches.What is the area of the bottom of the pan?
9.) Janet wanted a Spongebob cake for her birthday. Her mom was trying to figure out the volume of cake it would make to see if it would serve enough people at the party. She estimated that the base area was 370 inches2 and she measured the height to be 3.2 inches. Ignoring the indentations in the pan how many cubic inches of cake can the pan make?
14.) Ms. Parks decided to eat a slice of cheese cake. Her slice is 1/16 of the cake. The cake has a bottom that is 185 in2 and a height of 2.8 in. What is the volume of her piece of cake?