Question

Fill in the blanks in each of the following so as to make the statement true:

(i) 1 m³ = ……….. cm³

(ii) 1 litre = …….cubic decimetre

(iii) 1 kl = ………… m³

(iv) The volume of a cube of side 8 cm is …….

(v) The volume of a wooden cuboid of length 10 cm and breadth 8 cm is 4000 cm³. The height of the cuboid is …50…. cm.

(vi) 1 cu. Dm = …….. cu. Mm

(vii) 1 cu. Km = ……… cu. M

(viii) 1 litre = ......cu. Cm

(ix) 1 ml = ……. Cu. Cm

(x) 1 kl = …… cu. Dm = ……….. cu. Cm.

Answer 1

(i) 1 m³ = 1 x (100 x 100 x 100) = 10⁶ cm³ [1 m = 100 cm]

(ii) 1 litre = 1000 cm³ = 1000 x (0.1 x 0.1 x 0.1) dm³ = 1 dm³ [1 cm = 0.1 dm]

(iii) 1 kl = 1000 litre = 1 m³ [1 m³ = 1000 litre]

(iv) Side of cube = 8 cm

Volume of cube = 8³ = 512 cm³

(v) Volume of cuboid = 4000 cm³

Length = 10 cm, breadth = 8 cm

Then,

Height = \(\frac{volume}{length\times breadth}\) = \(\frac{4000}{10\times 8}\) = 50 cm

(vi) 1 cu. dm = 1 dm³ = 1 x 10 x 10 x 10 = 10³ cm³[1 dm = 10 cm]

= 10³ x 10 x 10 x 10 x 10 mm³ = 10⁶ mm³ [1 cm = 10 mm]

(vii) 1 km³ = 1000 x 1000 x 1000 = 10⁹ m³ [1 km = 1000 m]

(viii) 1 litre = 1000 cm³ = 10³ = cm³

(ix) 1 ml = \(\frac{1}{1000}\)litre = \(\frac{1}{1000}\) x 1000 = 1 cm³ [1 ml = \(\frac{1}{1000}\) litre]

(x) 1 kl = 1 x 1000 litre =1 m³ = 1 x (10 x 10 x 10) dm³ [1m = 10 dm]

1 kl = 10³ dm³ = 1000 x 1000 = 10⁶ cm³