Fill in the blanks in each of the following so as to make the statemen

1.	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» (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

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»

(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]