Step 1: We know that1 kg =1000 gAnd1 m = 100 cmSo, 1 m^3=1 m× 1 m× 1 m1 m^3=100 cm × 100 cm × 100 cm=10^6 cm^3Step 2: To find 1 kg/m^3= ___________ g/cm^31 kg ...

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Standard VII

Mathematics

Coversion of Units (1D)

1 kg/m3= g/cm...

Question

$1 k g / m^{3} =___________g / c m^{3}$

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Solution

Step 1: We know that
$1 k g = 1000 g$
And
$1 m = 100 c m$
So, $1 m^{3} = 1 m \times 1 m \times 1 m$
$1 m^{3} = 100 c m \times 100 c m \times 100 c m = 10^{6} c m^{3}$
Step 2: To find $1 k g / m^{3} =___________g / c m^{3}$
$1 k g / m^{3} = \frac{1000}{10^{6}} g / c m^{3}$
$1 k g / m^{3} = \frac{10^{3}}{10^{6}} g / c m^{3}$
Hence,
$1 k g / m^{3} = 10^{- 3} g / c m^{3}$

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Question 35

Fill in the blanks to make the statements true.

$1 m^{3} =$ ___ $c m^{3}$

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1kg/m3=___________g/cm3

Step 1: We know that1kg=1000gAnd1m=100cmSo, 1m3=1m×1m×1m1m3=100cm×100cm×100cm=106cm3Step 2: To find 1kg/m3=___________g/cm31kg/m3=1000106g/cm31kg/m3=103106g/cm3Hence,1kg/m3=10-3g/cm3

$1 k g / m^{3} =___________g / c m^{3}$