Find the volume in cubic decimetre of each of the cubes whose side is

Question:

Find the volume in cubic decimetre of each of the cubes whose side is

(i) 1.5 m

(ii) 75 cm

(iii) 2 dm 5 cm

Solution:

(i) Side of the cube $=1.5 \mathrm{~m}$

$=1.5 \times 10 \mathrm{dm}(\because 1 \mathrm{~m}=10 \mathrm{dm})$

$=15 \mathrm{dm}$

$\therefore$ Volume of the cube $=(\text { side })^{3}=(15)^{3}=3375 \mathrm{dm}^{3}$

(ii) Side of the cube $=75 \mathrm{~cm}$

$=75 \times \frac{1}{10} \mathrm{dm}(\because 1 \mathrm{dm}=10 \mathrm{~cm})$

$=7.5 \mathrm{dm}$

$\therefore$ Volume of the cube $=(\text { side })^{3}=(7.5)^{3}=421.875 \mathrm{dm}^{3}$

(iii) Side of the cube $=2 \mathrm{dm} 5 \mathrm{~cm}$

$=2 \mathrm{dm}+5 \times \frac{1}{10} \mathrm{dm} \quad(\because 1 \mathrm{dm}=10 \mathrm{~cm})$

$=2 \mathrm{dm}+0.5 \mathrm{dm}$

$=2.5 \mathrm{dm}$

$\therefore$ Volume of the cube $=(\text { side })^{3}=(2.5)^{3}=15.625 \mathrm{dm}^{3}$

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