Find the volume of wood required for making the closed box with internal dimensions of 20cm by 12.5cm by 9.5cm;wood 1.25cm thick.
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To find the volume of wood required for making the closed box, we need to calculate the volume of the outer box and the inner box separately and then subtract them.
First, let's calculate the volume of the inner box:
Volume_inner = Length_inner * Width_inner * Height_inner
= 20cm * 12.5cm * 9.5cm
Next, let's calculate the volume of the outer box. Since the outer box is made by adding wood on all sides, the dimensions will be increased by twice the thickness of the wood:
Length_outer = Length_inner + 2 * Thickness_of_wood
Width_outer = Width_inner + 2 * Thickness_of_wood
Height_outer = Height_inner + 2 * Thickness_of_wood
Now, we can calculate the volume of the outer box:
Volume_outer = Length_outer * Width_outer * Height_outer
Finally, we subtract the volume of the inner box from the volume of the outer box to find the volume of wood required:
Volume_of_wood_required = Volume_outer - Volume_inner
Using the given values:
Length_inner = 20cm
Width_inner = 12.5cm
Height_inner = 9.5cm
Thickness_of_wood = 1.25cm
Let's now substitute these values into the equations and calculate the volume of wood required.