Each side of a cube is measured to be 7.203m. What is (i) the total surface area and (ii) the volume of the cube to appropriate significant figures ?

Explanation

Length of a side = 7.203 m
(i) Total surface area `= 6api`
` = 6 xx 7.203 xx 7.203 = 311.29`
this to be rounded off to 4 significant figures as 7.203 as 4 significant figures.
`:.` Total surface area is `311.3 m^3`
(ii) Volume of the cube `= a^3`
` = 7.203 xx 7.203 xx 7.203`
` = 373.71`
This is to be rounded off to 4 significant figures as 7.203 as 4 significant figures.
`:.` The volume `= 373.7 m^3`.