Question

Find the volume of a cuboid whose
(i) length = 12 cm, breadth = 8 cm, height = 6 cm
(ii) length =1.2 m, breadth = 30 cm, height = 15 cm
(iii) length = 15 cm, breadth = 2.5 dm, height = 8 cm.

Answer 1

$$\begin{gathered} \text{(i)} \\ \text{In the given cuboid, we have:} \\ \text{length=12 cm, breadth=8 cm and height=6 cm} \\ \therefore \text{Volume of the cuboid = length×breadth×height} \\ \text{=12×8×6} \\ {\text{=576 cm}}^3 \\ \text{(ii)} \\ \text{In the given cuboid, we have:} \\ \text{length=1.2 m} \\ \text{=1.2×100 cm}(1\; m\; =\; 100\; cm) \\ \text{=120 cm} \\ \text{breadth=30 cm} \\ \mathrm{h}\text{eight=15 cm} \\ \therefore \text{Volume of the cuboid = length×breadth×height} \\ \text{=120×30×15} \\ {\text{=54000 cm}}^3 \\ \text{(iii)} \\ \text{In the given cuboid, we have:} \\ \text{length=1.5 dm} \\ \text{=1.5×10}(1\; dm\; =\; 10\; cm) \\ \text{= 15 cm} \\ \text{breadth=2.5 dm=2.5×10 cm=25 cm} \\ \mathrm{h}\text{eight=8 cm} \\ \therefore \text{Volume of cuboid = length×breadth×height} \\ \text{=15×25×8} \\ {\text{=3000 cm}}^3 \end{gathered}$$