Question

the external dimensions of a wooden box open at the top are 54 cm by 30 cm by 16 cm. It is made of wood 2 cm thick. Calculate a) the capacity of the box. b) the volume of wood

Answer 1

to find the capacity 
to find the inner volume subtract the dimentions by (2*2)=4
therefore capacity= inner volume= 50*36*12= 15600
so volume of wood= outer volume-inner volume
=54*30*16-50*26*12
=24000-15600
=8400cm^3

Answer 2

Answer:

18200cm³ , 7720 cm³

Step-by-step explanation:

External dimensions

Length 54 cm

Breadth 30 cm

Height 16 Cm

Internal dimensions

Length 54 -(2+2)=50 cm

Breadth 30 -(2+2) =26 cm

Height 16 -2 = 14

As the box is open from top we subtract only the lower wood thickness

Capacity of the box = internal volume

= 50*26*14= 18200 cm³

External volume = 54*30*16

=25920 cm³

Volume of the wood =external volume - internal volume

=25920-18200

=7720cm³