Answer:
The volume of the wood used is [tex]1,116\ cm^3[/tex]
Step-by-step explanation:
The Volume of a Rectangular Cuboid
In a rectangular cuboid, all angles are right, and the opposite faces are equal.
The volume of a cuboid of dimensions a,b,c is:
V=a.b.c
The rectangular box is made of wood with externals dimensions of 25 cm by 20 cm by 15 cm.
The external volume of the box is:
[tex]V_e=(25)*(20)*(15)=7,500\ cm^3[/tex]
The walls of the box are 0.5 thick each, this means that the internal dimensions are 1 cm less than the external dimensions, including the lid.
Thus the internal volume is:
[tex]V_i=(24)*(19)*(14)=6,384\ cm^3[/tex]
The volume of the wood used is the difference between the external and the internal volumes:
[tex]V_w=7,500\ cm^3-6,384\ cm^3=1,116\ cm^3[/tex]
The volume of the wood used is [tex]\mathbf{1,116\ cm^3}[/tex]
