[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
#1. Number of small cubes in the large solid ~
[tex]\qquad \sf \dashrightarrow \: 3 \times 3 \times 2[/tex]
[tex]\qquad \sf \dashrightarrow \: 18 \: \: small \: \: cubes[/tex]
#2. Volume of each small cube ~
[tex]\qquad \sf \dashrightarrow \: v = { \bigg(\dfrac{1}{3} \bigg) }^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: v = { \dfrac{1}{3 {}^{3} }}^{} [/tex]
[tex]\qquad \sf \dashrightarrow \: v = { \dfrac{1}{27{}^{} }}^{} \: \: m {}^{3} [/tex]
#3. Volume of large solid is :
[tex] \dashrightarrow \sf vol \: (small \: cube)\times\: no. \: of \: small \: cubes[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{27} \times 18 [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2}{3} \: \: {m}^{3} [/tex]