Fill in the blanks in each of the following so as to make the statement true: `1\ m^3= c m^3` `1\ l i t r e=` ......... cubic decimetre `1\ k l\ =\ ...\ m^3\ ` The volume of a cube of side 8cm is ........ The volume of a wooden cuboid of length 10cm and breadth 8cm is `4000\ c m^3` The height of the cuboid is .... cm. `1\ c udotd m= c udotm m` `1\ c udotk m= c udotm` `1\ l i t r e= c udotc m` `1\ m l= c udotc m` `1\ k l= c udotd m= c udotc m`

Explanation

(i) `1 m^3=1times(100times100times100)=10^6cm^3` (since `1 m=100 cm`)

(ii) `1 litre=1000 cm^3=1000times(0.1times0.1times0.1) dm^3 = 1 dm^3` (since `1 cm = 0.1 dm`)

(iii) `1 kl=1000 litre=1 m^3` (since `1 m^3=1000 litre`)

(iv) Side of a cube`=8 cm`
Volume of cube`= 83=512 cm^3`

(v) Length=`10 cm`
Breadth=`8 cm`
Volume of cuboid`= 4000 cm^3`
Volume`=l\timesbtimesh`
`h=(volume)/(l\timesb)4000/(10times8)=50 cm`

(vi) `1 cu. dm=1 dm^3=1times(10times10times10)=10^3cm^3` (since `1 dm=10 cm`)

`=10^3times(10times10times10)=10^6 mm^3` (since `1cm=10mm`)

(vii) `1 cu.km=1000times1000times1000=10^9m^3` (since `1km=1000 m`)

(viii) `1 litre=1000 cm^3=10^3cm^3`

(ix) `1 ml=1/1000 litre=(1/1000)times1000=1cm^3` (since `1ml=1/1000 litre`)

(x) `1 kl=1times1000 litre=1m^3=1times(10times10times10) dm^3` (since `1m=10 dm`)
`1 kl=1000 dm^3=10^3 dm^3=1000times1000=10^6 cm^3`