Question

A godown is in the form of a cuboid of measures 60m X 72m X 30m. The number of cubical boxes that can be stored in it if the edge of a cube is 6 m: ​

Answer 1

Answer:

600 boxes can be accommodated in the godown .

SOLUTION

$\boxed{\sf Number \; of \:Boxes\: that\: can \: be \: accomadated \: in\: the \:godown = \dfrac{Volume \; of\: the \:godown }{Volume \:of \:the\: boxes} }$

Dimensions of the Godown

Length(l) of the Cuboid = 60m.

Breadth(b) of the Cuboid = 72m.

Height(h) of the Cuboid = 30m.

Volume of the Godown

The godown is in the shape of a cuboid .

Volume of cuboid = l × b × h

$\implies$ Volume of the godown = 60 × 72 × 30

$\implies$ Volume of the godown = 129600 m³.

Dimensions of the Boxes

Edge/Side = 6m.

Volume

Volume of a cube = a³(Where a is the side of the cube)

$\implies$ Volume of the box = 6³ = 216 cm³.

NUMBER OF BOXES

$\sf Number \; of \:Boxes\: that\: can \: be \: accomadated \: in\: the \:godown = \dfrac{129600 }{216} }$

Number of boxes that can be accommodated in the godown = 600.