Question

A wooden box including the lead head has external dimension of 40 cm by 34 cm by 30 cm in the wood is 1 cm thick how many centimetre cube of wood are there in it

Answer 1

length = 40cm,

but 1cm thick means 1cm less from left and 1cm less from right

total 2cm less

So, the length is 38cm

similarly,

breadth = 32cm

height = 28cm

L = 38cm,

B = 32cm,

H = 28cm

volume of cuboid = L*B*H

volume of cuboid = 38*32*28

volume of cuboid = 34048cm³

there are 34048 centimetre cube in it.

Answer 2

Answer:

Volume of cuboid = length × breadth × height

Volume of cuboid = 40 cm × 34 cm × 30 cm

Volume of cuboid = 40800 cm³

Inner dimensions,

Length = 40 - ( 1 + 1 ) cm = 38 cm

Breadth = 34 - ( 1 + 1 ) cm = 32 cm

Height = 30 - ( 1 + 1 ) cm = 28 cm

Volume of cuboid = 38 cm × 32 cm × 28 cm

Volume of cuboid = 34048 cm³

Remaining volume = 40800 - 34048 cm³

$\bold{\huge{=\underline{\:6752\:cm^3}}}$