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
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.
-------------------------------------------------------------------------------------
Also view the related links:
find the volume of wood required to make a closed box of external dimensions 80cm, 75cm and 60cm, the thickness of walls of the box being 2cm throughout
https://brainly.in/question/2315292
The volume of wood required to make a closed box of external dimensions 30 cm, 18 cm and 20 cm, the thickness of walls of the box is 1.5 cm throughout is?
https://brainly.in/question/29518706
Answer:
141600cm^3 is the answer of this question