Unit 7 –Volume 13 Volume of rectangular solids 12 Volume of cylinders 11 Volume of cones 10 Volume of pyramids 9 Volume of spheres 8 WP: Volume

13 Riddle It's more powerful than God. It's more evil than the devil. The poor have it. The rich need it. If you eat it, you'll die. What is it?

13 Riddle Walks in the wind, Runs in the rain, Makes dry oceans in the sun. Counts time, stops clocks, Swallows kingdoms, gnaws rocks. What is it?

13 Volume of rectangular prisms Volume for a prism V=Bh Ex1. Calculate the volume of a rectangular prism with dimensions 17ft by 5 ft by 3 ft. 1753= 255 ft 3 “B” is the area of the base “h” is the object height (not the slant height) 5 3 9m 4m 5m Find the volume 17 V=Bh B=10 V=109 = 90m 3

12 Riddle How can you plant ten trees in five rows with four trees in each row….?

12a Volume of cylinders Volume = Area of Base height Volume of cylinder =  r 2 h 8cm 6cm V=3 2  8 V=72  cm 3

12b Volume of cylinders Ex2. Find the volume. Use 22/7 for pi Volume of cylinder =  r 2 h 14cm 10cm

11 Volume of cones Two trains are headed on a collision course. The trains are currently 65 miles apart. The north bound train is traveling at 55 miles per hour and the south bound train is traveling at 80 miles per hour. What is the distance between the two trains just before they collide?

11a Volume of cones Any “pyramid” type of shape has 1/3 the volume of the prism. h is the object height (not slant height) B is the area of the Base Volume of a cone

11b Volume of cones 12m Find the exact volume. V = 256  m 3 8m

A couple went for a walk as they were holding hands. However, one walked further than the other, how is this possible? 10 Volume of pyramids

10a Volume of pyramids Any “pyramid” type of shape has 1/3 the volume of the prism. B is the area of the Base h is the object height (not slant height) Find the volume:

9 Volume of spheres I have three USA coins. They are not a quarter, nor a dime, or a penny. It adds up to 60 cents. What are the coins?

9a Volume of spheres Surface area of a sphere A=4  r 2 units 2 Volume of a sphere Find the volume of a sphere with a diameter of 8mm  mm 3

8 WP: Volume What is the sum of the numbers from 1 to 100?

8a WP: Volume Ex1. A fish tank is 26 inches tall and has a base that is 15 inches by 22 inches. You want to fill the tank to a depth of 24 inches. How much water will it take?

8b WP: Volume Ex2. Ricardo is wrapping a gift to take to a birthday party and needs a box to put the gift in. The only box he has measures 4 in.  6 in.  6 in. He needs a box with measurements 3 times as large. What is the volume of the box Ricardo needs? How does the volume compare to that of the box he already has?

8c WP: Volume Ex3. A cylindrical oil storage tank has a height of 16 m and a diameter of 12 m. If the tank is 50  full, how many kiloliters of oil, to the nearest tenth, does it contain? Use   (1 kL = 1 m 3 )

8d WP: Volume The inside of an ice cream cone has radius 5 cm and height 9 cm. Assuming that a half-scoop of ice cream is in the shape of a hemisphere, (half a sphere) and that it fits perfectly on top of the cone (same radius), find the total volume of ice cream cone. Round to the nearest tenth. 5 9 Volume of SphereVolume of cone Volume =  r 2 h/3 l