Question

Find the volume of a cube whose side is
(i) 4 cm
(ii) 8 cm
(iii) 1.5 dm
(iv) 1.2 m
(v) 25 mm

Answer 1

$$\begin{gathered} \text{(i)} \\ \mathrm{The}\mathrm{s}\text{ide of the given cube is 4 cm.} \\ {\text{∴ Volume of the cube=(side)}}^3{\text{=(4)}}^3{\text{=64 cm}}^3 \\ \text{(ii)} \\ \mathrm{The}\mathrm{s}\mathrm{ide\; of\; the\; given\; cube\; is}\text{8 cm.} \\ {\text{∴ Volume of the cube=(side)}}^3{\text{= (8)}}^3{\text{= 512 cm}}^3 \\ \text{(iii)} \\ \mathrm{The}\mathrm{s}\mathrm{ide\; of\; the\; given\; cube}=\text{1.5 dm=1.5×10 cm=15 cm} \\ {\text{∴ Volume of the cube=(side)}}^3{\text{=(15)}}^3{\text{=3375 cm}}^3 \\ \text{(iv)} \\ \mathrm{The}\mathrm{s}\mathrm{ide\; of\; the\; given\; cube}\text{= 1.2 m=1.2×100 cm=120 cm} \\ {\text{∴ Volume of the cube=(side)}}^3{\text{=(120)}}^3{\text{=1728000 cm}}^3 \\ \text{(v)} \\ \mathrm{The}\mathrm{s}\mathrm{ide\; of\; the\; given\; cube}\text{= 25 mm =}\frac{25}{10}\text{cm=2.5 cm} \\ {\text{∴ Volume of the cube=(side)}}^3{\text{=(2.5)}}^3{\text{=15.625 cm}}^3 \end{gathered}$$