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Convert the following measurement. 7.5times 10^-4(g)/(3)=square (kg)/(3)

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Convert the following measurement. 7.5times 10^-4(g)/(3)=square (kg)/(3)

Convert the following measurement. 7.5times 10^-4(g)/(3)=square (kg)/(3)

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FlynnElite · Tutor for 8 years

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### The density is \(750 \frac{\mathrm{kg}}{\mathrm{m}^{3}}\).

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## Step 1: Understand the given measurement<br />We are given the density in grams per cubic centimeter and we need to convert it to kilograms per cubic meter. We know that 1 gram is equal to 0.001 kilograms and 1 cubic centimeter is equal to 0.000001 cubic meters.<br /><br />### **1 g = 0.001 kg**<br />### **1 cm³ = 0.000001 m³**<br /><br />## Step 2: Apply conversion factors<br />To convert the given density to kilograms per cubic meter, we multiply the given density by the conversion factors.<br /><br />### <br />\[7.5 \times 10^{-4} \frac{\mathrm{g}}{\mathrm{cm}^{3}} \times 0.001 \frac{\mathrm{kg}}{\mathrm{g}} \times \frac{1}{0.000001} \frac{\mathrm{m}^{3}}{\mathrm{cm}^{3}} = 750 \frac{\mathrm{kg}}{\mathrm{m}^{3}}\]<br /><br />#
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