m5) volume What would the volume be of this cube, if each segment was 1 cm? m5) volume

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1 The amount of space occupied by a 3D object, expressed in cubic units. What would the volume be of this cube, if each segment was 1 cm?

2 All volume is the area of the base times the height. V= v=

3 Cube Rectangular/ Right Prism A cube is side times side times side. It is sides cubed. Depending on the measurements used, the units will be units cubed or units 3. Right Cylinder Sphere

4 Examples V = area of base x height V = b x h x h Cereal Box Rectangular Prism V = 12 x 15 x u 3 V = area of base x height V = x 4 x 6 x u 3 12 V = area of base x h 8 V = x h Soup can Cylinder V = 3.14 x x u 3 Try These on your own

5 Examples 2cm V = V= Ball Sphere V area of base x height V V Try These on your own d = 17cm

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9 Word Problems Be sure to: Sketch Label Calculations Units

10 example #1: Sandra wants to make jello for her pre school class and she has a baking pan 14 cm by 22 cm with a depth of 4cm & a salad bowl (perfectly circular on bottom) that has a diameter of 45 cm. How much jello can she make if she fills each to the top? Sketch Label Calculations Units example #2: Rob has 4 oil cannisters out back full of used oil. If the cannister has a 3 ft diameter and is 4 ft tall, determine the total amount of used oil he must dispose of. Sketch Label Calculations Units

11 Word Problems: 1. Determine the amount of water in a 3.5 m, 2.3m by 8.9 m pool if it is filled to the top. 2. Calculate the amount of ice cream a cone can hold if the cone is 10.8 cm long with a radius of 4.5 cm and the understanding the ice cream employee scoops a perfect singular scoop on top of the cone. 3. Joan has a lawn ornament that needs to be reconstructed. The base is rectangular (2 ft, 3 ft by 0.5 ft) with a circular post made of steel in the center having a diameter of 0.75 ft. How much cement would be needed to fill the base?

12 Word Problems: 1. Determine the amount of water in a 3.5 m, 2.3m by 8.9 m pool if it is filled to the top. 2. Calculate the amount of ice cream a cone can hold if the cone is 10.8 cm long with a radius of 4.5 cm and the understanding the ice cream employee scoops a perfect singular scoop on top of the cone. 3. Joan has a lawn ornament that needs to be reconstructed. The base is rectangular (2 ft, 3 ft by 0.5 ft) with a circular post made of steel in the center having a diameter of 0.75 ft. How much cement would be needed to fill the base? Mix it up: 1. Find the surface area of the flooring in a room that is 12 ft by 15ft with an addition of a 6 ft by 4.5 ft. 2. How much material would be needed to cover a tennis ball container if the diameter of 3.5 cm and a height of 7 cm? 3. State the volume of a cylinder with a diameter and height of 20 cm. 4. State the volume of a triangular prism with the following dimensions. Triangle h=7.5 cm, base 10.4 cm and hyp = 8 cm and height of prism is 22 cm. 5. Calculate the surface area of a cereal box that is 18 mm, 12 mm by 22 mm. Challenge: State the volume of a disco ball with a circumference of cm.

13 Mix it up: 1. Find the surface area of the flooring in a room that is 12 ft by 15ft with an addition of a 6 ft by 4.5 ft. 2. How much material would be needed to cover a tennis ball container if the diameter of 3.5 cm and a height of 7 cm? 3. State the volume of a cylinder with a diameter and height of 20 cm. 4. State the volume of a triangular prism with the following dimensions. Triangle h=7.5 cm, base 10.4 cm and hyp = 8 cm and height of prism is 22 cm. 5. Calculate the surface area of a cereal box that is 18 mm, 12 mm by 22 mm. Challenge: State the volume of a disco ball with a circumference of cm.

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