Question

Find the volume, lateral surface area and the total surface area of a cube each of whose edges measures:
(i) 7 m
(ii) 5.6 cm
(iii) 8 dm 5 cm

Answer 1

(i) Length of the edge of the cube = a = 7 m
Now, we have the following:
​Volume$=a^3=7^3=343m^3$
Lateral surface area $=4a^2=4\times 7\times 7=196m^2$
Total Surface area$=6a^2=6\times 7\times 7=294m^2$

(ii) Length of the edge of the cube = a = 5.6 cm
​Now, we have the following:
Volume$=a^3=5.6^3=175.616c{m}^3$
Lateral surface area $=4a^2=4\times 5.6\times 5.6=125.44c{m}^2$
Total Surface area$=6a^2=6\times 5.6\times 5.6=188.16c{m}^2$

(iii) Length of the edge of the cube = a = 8 dm 5 cm = 85 cm
​Now, we have the following:
Volume$=a^3={85}^3=614125c{m}^3$
Lateral surface area $=4a^2=4\times 85\times 85=28900c{m}^2$
Total Surface area$=6a^2=6\times 85\times 85=43350c{m}^2$