Question

Find the Lateral Surface Area (LSA), Total Surface Area (TSA) and volume of the cubes having their sides as :
(i) $5.6$ cm (ii) $6$ dm (iii) $2.5$ m (iv) $24$ cm (v) $31$ cm

Answer 1

Let a be the side of the cube. Note that a cube has all the sides same

Lateral surface area of the cube$=4a^2$

Surface area of the cube$=6a^2$

Volume of cube$=a^3$

(1) $LSA=4a^2=4\times {5.6}^2=125.44c{m}^2$

$TSA=6a^2=6\times {5.6}^2=188.16c{m}^2$

$volume=175.61c{m}^2$

(2) $LSA=4a^2=4\times 6^2=144d{m}^2$

$TSA=6a^2=6\times 6=216d{m}^2$

$volume=a^3=216d{m}^2$

(3) $LSA=4a^2=4\times {2.5}^2=25m^2$

$TSA=6a^2=6\times {2.5}^2=37.5m^2$

$volume=15.625m^2$

(4) $LSA=4a^2=4\times {24}^2=2304c{m}^2$

$TSA=6a^2=6\times {24}^2=3456c{m}^2$

$volume=13824c{m}^2$

(5) $LSA=4a^2=4\times {31}^2=3844c{m}^2$

$TSA=6a^2=6\times {31}^2=5766c{m}^2$

$volume=29791c{m}^2$