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A piece of wood measures 4cm by 2cm by 9cm. If it weights 144g,then find the density of the wood.
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Answer 1

Answer:

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A piece of wood measures 4cm by 2cm by 9cm. If it weights 144g,then find the density of the wood.

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word problem

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• The answer

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It is given that,

• Mass, m = 144g
• Piece of wood measures 4cm by 2cm by 9cm.

we have to calculate the density of the wood)☞

As we know that density is calculated by the mass per unit.

Conversion of unit

☞Mass = 144/1000 kg

☞Mass = 0.144 kg

Calculation of Volume

☞Volume of piece of wood =

72/1000000 m³

☞Volume of piece of wood = 7.2×10-⁵ m³

Now, calculating the density of wood,

• d = m/v

by putting thr value we get

☞ d = 0.144/7.2×10-⁵

☞ d = 0.144×10-⁵/7.2

☞ d = 14400/7.2

☞ d = 144000/72

☞ d = 2000 kg/m³

• Hence, the density of the wood will be 2000 kg/m³

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• I hope it was helpful to you :)

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Answer 2

Answer:

Given dimensions of the wood piece is : 4 cm by 3cm by 6 cm. = 0.04 m by 0.03 m by 0.06 m.

So volume of the given wood piece is (4*3*6) cubic centimetres. = 72 cc.

In SI units,volume is : (0.04*0.03*0.06)= (0.000072) metres cube.

Now , weight of the wood piece is : 108 grams = 0.108 kgs.

So, density is given by : mass/volume

Hence density of the given wood piece in SI units is = (0.108/0.000072) = 1500 kg/m^3.

Hope it helps!

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