Question

A big cargo box measures 12 m by 6 m by 5 m. How many small boxes of 40 cm by 25 cm by 10 cm can be put into the cargo box?

Answer 1

Given : Big cargo box measures 12m x 6m x 5m

Volume of the Box : Length x Breadth x Height

Volume of the Big cargo box : (12 × 6 × 5) = 360 m³

We know that : 1m = 100cm

Volume of the Big cargo box : 360 (100cm)³

Volume of the Big cargo box : 360 × 100³ × cm³

Given : Small box measures 40cm x 25cm x 10cm

Volume of the Small box : (40 × 25 × 10) = 10000 cm³

Small boxes which can be put into Big cargo box :

$\bigstar \ \ \boxed{\dfrac{\textsf{Volume of the Big cargo box}}{\textsf{Volume of one small box}}}$

$\sf{\implies \dfrac{360 \times 100^{3}}{10000}}$

$\sf{\implies {36000}$

Answer : 36000 small boxes can be put into Big cargo box