Question

Find the maximum number of cubical boxes of side 5 cm, which can be accommodated
in a carton of dimensions 25 cm x 10 cm x 15 cm.​

Answer 1

✯ Answer :

$\huge \color{green}{\boxed{30}}$

✯ Solution :

➣ Volume of Cube (cubical boxes) = side³

=> 5³

=> 125cm³

➣ Volume of cuboid (carton box) = L× B× H

=> 25 × 10 × 15

=> 3750cm³

➣ Number of cubical boxes can be accompanied in a carton box =

$\large \ \ \ \ \ \ \ \ \ \ \ \sf ⟹ \frac{Volume \ of \ carton \ box(cuboid) }{Volume \ of \ cubical \ boxes (cube)} \\ \\ \ \ \ \ \ \ \ \ \ \sf \large⟹ \frac{\cancel{3750}}{\cancel{125}} \\ \\ \sf \large⟹ \boxed{30}$

$\color{blue} ━━━━━━━━━━━━━━━━━━━━━━━━━━$