Question

A rectangular iron rod that measures 16 metre in length, 8 metre in breadth and 4 metre in height is melted and recast into small cuboid pieces having dimensions 20 cm, 16 cm and 12 cm, respectively. How many small iron cuboids were made from this big rectangular iron rod?​

Answer 1

Step-by-step explanation:

let $V_1$ and $V_2$ be the volume of rectangular iron road and recasted small cuboid pieces respectively.

∴ $V_1$ = $16m \times 8m \times 4m = 512 {m}^{3}$

And,

$V_2$ = $20cm \times 16cm \times 12cm = 3840 {cm}^{3}$

since, $1 {m}^{3} = 1000000 {cm}^{3}$

$V_1$ = $512 {m}^{3}=512000000 {cm}^{3}$

Number of iron cuboids were made from this big rectangular iron rod

= $\frac{512000000 {cm}^{3}}{3840 {cm}^{3} } = 133333.33333$

thus, $133333$ such cuboids were made.