A closed wooden box 80 cm long, 65 cm wide and 45 cm high, is made of 2.5-cm-thick wood. Find the capacity of the box and its weight if 100 cm 3 of wood weighs 8 g.

Question

Philoid · Accepted Answer

Given that,

External length = 80 cm

External width = 65 cm

External height = 45 cm

We know that,

Volume of cuboid = Length × Breadth × Height

Therefore,

External volume of the box = 80 × 65 × 45

= 234000 cm³

It is also given that,

Thickness of the wood = 2.5 cm

Therefore,

Internal length = 80 – (2.5 × 2) = 75 cm

Internal width = 65 – (2.5 × 2) = 60 cm

Internal height = 45 – (2.5 × 2) = 40 cm

As we know that,

Volume of cuboid = Length × Breadth × Height

Therefore,

Capacity of box = Internal volume of the box = 75 × 60 × 40

= 180000 cm³

Hence,

Volume of wood = External volume – Internal volume

= 234000 – 180000

= 54000 cm³

It is also given that,

100 cm³ of wood weighs 8 g

Therefore,

Weight of wood =

= 4320 g

= 4.32 kg

A closed wooden box 80 cm long, 65 cm wide and 45 cm high, is made of 2.5-cm-thick wood. Find the capacity of the box and its weight if 100 cm3 of wood weighs 8 g.

A closed wooden box 80 cm long, 65 cm wide and 45 cm high, is made of 2.5-cm-thick wood. Find the capacity of the box and its weight if 100 cm³ of wood weighs 8 g.