Question

a godown is in the form of cuboid in the dimension 30m×20m×15m.how many cuboidal boxes of dimensions 60cm×40cm×30cm can be stored​

Answer 1

Answer:

volume of godown= 300×200×150= 900000cm3

volume of boxes = 60×40×30= 72000cm³

total number of boxes= 9000000/72000= 125

Answer 2

125000 cuboidal boxes can be stored.

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Let's understand a few concepts:

To solve the given problem we will use the following formula:

$\boxed{\bold{Volume \:of\:cuboid = length \times breadth\times height}}$

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Let's solve the given problem:

The dimensions of the cuboidal godown:

Length = 30 m

Breadth = 20 m

Height = 15 m

∴ The volume of the cuboidal godown is,

= Volume of a cuboid

= $length \times breadth \times height$

= $30 \times 20 \times 15$

= $9000\:m^3$

The dimensions of the cuboidal boxes:

Length = 60 cm = 0.6 m

Breadth = 40 cm = 0.4 m

Height = 30 cm = 0.3 m

[∵ 1 m = 100 cm]

∴ The volume of the cuboidal boxes is,

= Volume of a cuboid

= $length \times breadth \times height$

= $0.6 \times 0.4 \times 0.3$

= $0.072\:m^3$

Now,

The required no. of cuboidal boxes that can be stored in the godown is,

= $\frac{Volume\:of\:godown}{Volume \:of\:1\:box}$

= $\frac{9000\:m^3}{0.072\:m^3}$

= $\bold{125000}$

Thus, 125000 cuboidal boxes of dimensions 60 cm ×  40 cm × 30 cm can be stored​.

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