an open rectangular box is made of wood 1cm thick if the external dimensions are 42cm long 32cm wide and 15cm deep calculate volume of wood
To calculate the volume of wood used to make the box, we need to subtract the volume of the internal box from the volume of the external box.
The external dimensions of the box are:
Length = 42cm
Width = 32cm
Depth = 15cm
The thickness of the wood is 1cm, so the internal dimensions of the box are:
Length = 42cm - 2cm = 40cm
Width = 32cm - 2cm = 30cm
Depth = 15cm - 2cm = 13cm
Therefore, the volume of the internal box is:
Volume = Length x Width x Depth
Volume = 40cm x 30cm x 13cm
Volume = 15,600 cm^3
The volume of the external box is:
Volume = Length x Width x Depth
Volume = 42cm x 32cm x 15cm
Volume = 20,160 cm^3
So, the volume of wood used to make the box is:
Volume of wood = Volume of external box - Volume of internal box
Volume of wood = 20,160 cm^3 - 15,600 cm^3
Volume of wood = 4,560 cm^3
Therefore, the volume of wood used to make the box is 4,560 cm^3.