Use the mass and density data to calculate the volume of corn syrup to the nearest tenth.
Mass of corn syrup = 57.3 g
Density of corn syrup = 1.38 g / mL
Answer (2)
Use the formula: V o l u m e = De n s i t y M a ss .
Substitute the given values: V o l u m e = 1.38 g / m L 57.3 g .
Calculate the volume: V o l u m e ≈ 41.5217 m L .
Round to the nearest tenth: V o l u m e ≈ 41.5 m L .
Explanation
Understanding the Problem We are given the mass and density of corn syrup and asked to find its volume. The mass of the corn syrup is 57.3 g and its density is 1.38 g / m L . We will use the formula relating mass, density, and volume to calculate the volume and round the result to the nearest tenth.
Formula for Volume The formula relating mass, density, and volume is: De n s i t y = V o l u m e M a ss We need to rearrange this formula to solve for volume: V o l u m e = De n s i t y M a ss
Substituting Values Now, we substitute the given values into the formula: V o l u m e = 1.38 g / m L 57.3 g
Calculating the Volume Calculating the volume: V o l u m e = 1.38 57.3 m L ≈ 41.5217 m L Rounding the volume to the nearest tenth: V o l u m e ≈ 41.5 m L
Final Answer The volume of the corn syrup, rounded to the nearest tenth, is 41.5 m L .
Examples
Understanding density and volume calculations is crucial in many real-world applications. For instance, when cooking, you might need to convert between mass and volume for ingredients. If a recipe calls for a certain volume of an ingredient but you only have its mass, you can use the density to find the equivalent volume. This is also important in fields like medicine, where precise measurements are essential for administering drugs, and in engineering, where material properties like density affect structural design.
The volume of corn syrup, calculated using its mass of 57.3 g and density of 1.38 g/mL, is approximately 41.5 mL when rounded to the nearest tenth. The formula used for the calculation is Volume = Mass/Density. This results in a final volume of 41.5 mL.
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