Question

A cupboard made up of wood has the inner measure as 120cm,70cm,and 45cm.if the thickness of the wood is 2.5cm, find the volume of the wood.

Answer 1

The volume of the wood is 90750$cm^{3}$.

Step-by-step explanation:

Given,

A cupboard made up of wood has the inner measure as 120cm, 70cm and 45cm.

To find, the volume of the wood = ?

∴ The inner volume = 120 cm × 70 cm × 45 cm

= 378000 $cm^{3}$

Now, adding thickness

120 + 2.5 + 2.5 = 125 cm, 70 + 2.5 + 2.5 =  75 cm and

45 + 2.5 + 2.5 = 50 cm

∴ The volume of outside = 125 cm × 75 cm × 50 cm

= 468750$cm^{3}$

∴ The volume of the wood = The volume of outside - The inner volume

= 468750$cm^{3}$ - 378000 $cm^{3}$

= 90750 $cm^{3}$

Hence, the volume of the wood is 90750 $cm^{3}$.