Find the volume of a cube whose side is
(i) 4 cm (ii) 8 cm (iii) 1.5 dm (iv) 1.2 m (v) 25 mm

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Solution

(i) Side of a cube (a) = 4 cm
$∴ V o l u m e = a^{3} = (4)^{3} c m^{3}$
= $4 \times 4 \times 4 = 64 c m^{3}$
(ii) Side of a cube (a) = 8 cm
$∴ V o l u m e = a^{3} = (8)^{3}$
= $8 \times 8 \times 8 c m^{3} = 512 c m^{3}$
(iii) Side of a cube (a) = 1.5 dm= 15 cm
$∴ V o l u m e = a^{3} = (1.5)^{3} d m^{2} = (15)^{3} c m^{3}$
= $15 \times 15 \times 15 = 3375 c m^{3}$
(iv) Side of a cube (a) = 1.2 m= 120 cm
$∴ V o l u m e = a^{3} = (120)^{3} c m^{3}$
= $120 \times 120 \times 120 = 1728000 c m^{3}$
(v) Side of a cube (a) = 25 mm= 2.5 cm
$∴ V o l u m e = a^{3} = (2.5)^{3} c m^{3}$
= $2.5 \times 2.5 \times 2.5 c m^{3} = 15.625 c m^{3}$

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1

- 1

\sqrt{3}

- \sqrt{3}

\frac{1}{\sqrt{3}}

4 c m

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