a wooden box has external dimensions 40 cm by 34 cm by 30 cm. if the wood is 1 cm thick how many cm3 of wood is used in it ?
2 answers:
Answer:
Total Volume = 5688cm^3 without Lid
Total Volume = 6752cm^3 with lid
Step-by-step explanation:
Front and Back
Length = 40, Width = 34, Height (thickness) = 1
V = L*W*H
V = 40*34*1
V = 1360cm^3
Times 2 for front and back
V = 2720cm^2
Left and Right Side
Because the Front and Back are 1cm thick. You need to subtract 2cm from the length
Length = 28 not 30, Width = 34 (does not change), Thickness = 1
V = 34*28*1
V = 952cm^3
Times 2 for Left and Right
V = 1904cm^3
Bottom
Because the Thickness of the Front and Back, subtract 2 from length, then subtract 2 from width because of the sides being 1 cm thick too.
Length = 28 not 30 (subtract from original outside dimension), Width = 38 not 40, Thickness = 1
V = 28*38*1
V = 1064cm^3
If there was a wooden lid multiply by two
<em>V = 2128cm^3</em>
Total Volume = 5688cm^3 without Lid
Total Volume = 6752cm^3 with lid
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