8.1 Weight, Mass, and Volume Key Question: What are the relationships among weight, mass, and volume? WEIGHT AND MASS You’ve probably weighed yourself at home, at the doctor’s office, or in the gym. But what does that number mean? weight the force of gravity acting on an object Weight is a measure of how strongly gravity pulls on something. Earth has a stronger gravitational pull than the Moon. Therefore, an object’s weight on the Moon is less than its weight on Earth. more gravity ⫽ more weight less gravity ⫽ less weight Look at Figure 1. On Earth, gravity would make this equipment too heavy for the astronaut to carry. In space, the equipment is much lighter because the force of gravity is not as strong. Figure 1 The astronaut can move huge pieces of equipment because they appear to be weightless in space. 164 Chapter 8 Worksheet 8.1-1 Copyright © 2010 by Nelson Education Ltd. mass the amount of matter that makes up an object or substance Mass is different from weight. Mass measures the amount of matter in something. The amount of gravity does not change the amount of mass. So, an object’s mass would not change on the Moon, even though it would have a different weight. Mass can be measured in kilograms. A kilogram of gold and a kilogram of foam have the same mass. However, you need much more foam than gold to make up a kilogram. Their masses are the same, but the volume of foam is greater. VOLUME volume the amount of space an object or substance takes up Volume measures how much space an object or substance takes up. You can measure the volume of an object with a regular shape, such as a cube. Multiply the object’s length, width, and height together. The answer will be in cubic units (m3, cm3, and so on). Volume ⫽ length ⫻ width ⫻ height Look at the cube in Figure 2. The length, width, and height are each 10 cm. The volume of the cube is 1000 cm3 or one litre (L). 10 cm ⫻ 10 cm ⫻ 10 cm ⫽ 1000 cm3 ⫽ 1 L 1000 cm3 = 1000 mL = 1 L 10 cm 10 cm 10 cm 1 cm3 = 1 mL 1 cm 1 cm 1 cm Figure 2 The basic unit for measuring volume is the litre. Millilitres (mL) are used to measure small volumes of liquids. 1 L ⫽ 1000 mL. 1000 cm3 ⫽ 1 L ⫽ 1000 mL Copyright © 2010 by Nelson Education Ltd. 1 mL ⫽ 1 cm3 Chapter 8 Worksheet 8.1-1 165 TURN FINDING VOLUME BY DISPLACEMENT Cubes have a regular shape. It is easy to measure their length, width, and height in order to find the volume. But what about objects like rocks, with irregular shapes? How would you find a rock’s volume? displace to take the place of You can use the displacement method to find the volume of objects with irregular shapes. To displace means to take the place of something. Objects put into a fluid displace the fluid. These steps describe one displacement method: 1. Fill an overflow can with water until it begins to overflow. 2. Wait until the overflowing stops. 3. Place a container under the spout of the overflow can. 4. Place the object into the water. 5. Collect and measure the volume of water that overflowed. The volume of water that overflowed is equal to the volume of the object. Figure 3 shows a student using an overflow can to measure the volume of an object. Figure 3 This student measures volume using an overflow can. 166 Chapter 8 Worksheet 8.1-1 Copyright © 2010 by Nelson Education Ltd. Name: _________________________________________ Date: ________________________ CHECK YOUR UNDERSTANDING 1. (a) How is the weight of an object on the Moon different from its weight on Earth? (b) Why is it different? 2. Describe how to measure the volume of an irregular solid. 3. Think back to the Key Question. Fill in the table to compare weight, mass, and volume. What it measures Units of measure Weight Mass Volume Copyright © 2010 by Nelson Education Ltd. Chapter 8 Worksheet 8.1-1 167 END