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PES Skill Sheets.book - Capital High School

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<strong>Skill</strong> Sheet 10.1: Calculating volume<br />

Stop and Think:<br />

a. cm 3 or centimeters cubed<br />

b. 64 in 3<br />

c. Area is calculated using two dimensions (length and<br />

width). Volume is calculated using three dimensions<br />

(length, width, and height).<br />

d. 64 cubes each 1 cm 3 would fit<br />

Calculating volume of a rectangular prism:<br />

1. 24 cm 2<br />

2. 48 cm 3<br />

3. 90 cm 3<br />

Calculating volume of a triangular prism:<br />

1. 3 cm 2<br />

2. 18 cm 3<br />

3. 100 cm 3<br />

Calculating volume of a cylinder:<br />

1. 28.3 cm 2<br />

2. 170 cm 3<br />

3. 402 cm 3<br />

Calculating volume of a cone:<br />

<strong>Skill</strong> Sheet 10.1: Density<br />

1. 1.10 g/cm3 2. 0.870 g/cm3 3. 2.7 g/cm3 4. 920,000 grams or 920 kilograms<br />

5. 2,420 grams or 2.42 kilograms<br />

6. 1,025 grams or 1.025 kilograms<br />

7. 1,200 cm3 8. 29.8 cm3 9. 11.4 mL<br />

<strong>Skill</strong> Sheet 10.3: Pressure in Fluids<br />

1. 50,000 Pa<br />

2. 157,000 N<br />

3. 0.0015 m2 4. 5 m2 5. If the area of the input piston is doubled, the pressure<br />

transmitted by the system is cut in half.<br />

6. If the area of the input piston is doubled (and no other<br />

variables are changed), the output force is cut in half.<br />

<strong>Skill</strong> Sheet 10.3: Boyle’s Law<br />

1. 3.25 atm<br />

2. 36 m 3<br />

3. 563 kPa<br />

4. 570 liters<br />

5. 25 liters<br />

<strong>Skill</strong> Sheet 10.4: Buoyancy<br />

1. Sink<br />

2. Float<br />

3. 0.12 N<br />

4. 0.10 N<br />

5. The light corn syrup has greater buoyant force than the<br />

vegetable oil.<br />

6. 0.13 N<br />

Page 26 of 57<br />

1. 78.5 cm 2<br />

2. 628 cm 3<br />

3. 134 cm 3 ; this volume is one-third the value of the volume of<br />

the cylinder with similar dimensions.<br />

Calculating volume of a rectangular pyramid:<br />

1. 20 cm 2<br />

2. 40 cm 3<br />

3. 66.7 cm 3<br />

4. About 6.25 cm<br />

Calculating volume of a triangular pyramid:<br />

1. 6 cm 2<br />

2. 14 cm 3<br />

3. 50 cm 3<br />

4. 12.6 cm<br />

Calculating volume of a sphere:<br />

1. 268 cm 3<br />

2. 33.5 cm 3<br />

3. 523 cm 3 (assume 3.14 for pi)<br />

10. Answers are:<br />

a. density = 960. kg/m 3 , HDPE<br />

b. 76,000 grams or 76 kilograms<br />

c. The volume needed is 0.11 m 3 ; 11 10-liter containers would<br />

be needed to hold the plastic<br />

d. HDPE, LDPE, PP (PS would probably be suspended in<br />

seawater)<br />

7. No, the output distance must be less than the input distance.<br />

Output work (output force × output distance) can never be<br />

greater than input work (input force × input distance).<br />

8. The woman’s force (540 N) remains constant whether she’s<br />

wearing high heels or snowshoes. But the area over which the<br />

force is applied is much greater with snowshoes than high<br />

heels. Since pressure = force ÷ area, the pressure applied to<br />

the floor by high heeled shoes is much greater than the<br />

pressure applied to the snow by the snowshoes.<br />

7. The buoyant force would be smaller if the gold cube were<br />

suspended in water. Student explanations may vary. A simple<br />

observation, such as “The water is thinner than the molasses”<br />

is acceptable, as well as the more sophisticated “The<br />

displaced water would weigh less than the displaced<br />

molasses” or “The water is less dense than the molasses.”

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