a wooden box with dimensions 36 cm × 24 cm × 12 cm is 2 cm thick.find the weight of the wood if density of the wood is 100gm/m cube
Answers
Answer:
a wooden box with dimensions 36 cm × 24 cm × 12 cm is 2 cm thick. If the density of the wood is 100gm/m cube, the weight of the wood is 0.5248 grams.
Step-by-step explanation:
Given a thickness of 2 cm, we can the internal dimensions of the wooden box.
We have:
Length = 36 - (2 × 2) = 32 cm
Width = 24 - (2 × 2) = 20 cm
Height = 12 - (2 × 2) = 8 cm
The volume of the wood used is given by:
Volume = External volume - internal volume
Volume = (36 × 24 × 12) - (32 × 20 × 8) = 5248 cm³
Convert this to m³
= 5248/1000000 = 0.005248 m³
Density = mass/volume
mass = Density × Volume
mass = 100 × 0.005248 = 0.5248 grams
The weight of the wood is 0.5248 grams.
Step-by-step explanation:
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