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A glass contains 320cm^3 of orange juice . The mass of the juice is 370g. Calculate the density of the juice in kilograms per cubic metre (kg/m^3) Give your answer to the nearest integer.

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A glass contains 320cm^3 of orange juice . The mass of the juice is 370g. Calculate the density of the juice in kilograms per cubic metre (kg/m^3) Give your answer to the nearest integer.

A glass contains 320cm^3 of orange juice . The mass of the juice is 370g. Calculate the density of the juice in kilograms per cubic metre (kg/m^3) Give your answer to the nearest integer.

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HumphreyMaster · Tutor for 5 years

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The density of the orange juice is approximately 1156 kg/m³.

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## Step1: <br />Convert the volume from cm³ to m³.<br />Remember, 1 cm³ = \(\frac{1}{1,000,000} \) m³.<br />Therefore, 320 cm³ = \( \frac{320}{1,000,000}=\) 0.00032 m³.<br /><br />## Step2: <br />Convert the mass from grams to kilograms.<br />Remember, 1 g = \( \frac{1}{1,000} \)kg.<br />Therefore, 370 g = \( \frac{370}{1,000} = \) 0.37 kg.<br /><br />## Step3: <br />With the mass and volume now in the appropriate units, we can use the density formula.<br /><br />### The density formula is \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \).<br /><br />In this case, Density = \( \frac{0.37 \text{ kg}}{0.00032 \text{ m}^3} \approx 1156 \text{ kg/m}^\text{3} \) rounding to the nearest integer. So, the density of the juice is approximately 1156 kg/m³.
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