Math, asked by akayi5614, 10 months ago

A box is made of wood with its external dimensions of 154cm*100cm*84cm and thickness of 2 cm. How much wood was used to make it? Solution of

Answers

Answered by bhagyashreechowdhury
15

Given:

A box is made of wood with its external dimensions of 154 cm * 100 cm * 84 cm and thickness of 2 cm.

To find:

How much wood was used to make it?

Solution:

The external dimensions of the box:

External Length = 154 cm

External Breadth = 100 cm

External Height = 84 cm

∴ The external volume of the box is,

= Ext. Length × Ext. Breadth × Ext. Height

= 154 × 100 × 84

= 1293600 cm³

Thickness of wood = 2 cm

So,

The internal dimensions of the box:

Internal Length = 154 - (2+2) = 150 cm

Internal Breath = 100 - (2+2) = 96 cm

Internal Height = 84 - (2+2) = 80 cm

∴ The internal volume of the box is,

= Int. Length × Int. Breadth × Int. Height

= 150 × 96 × 80

= 1152000 cm³

Now,

The volume of the wood used was,

= [External volume] - [Internal volume]

= 1293600 cm³ - 1152000 cm³

= 141600 cm³

Thus, 141600 cm³ of wood was used to make the wooden box.

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Answered by rajnee5065
1

Answer:

141600cm^3 is the answer of this question

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