Question

A piece of wood that measures 3.0 cm by 6.0 cm by 4.0 cm has a mass of 80.0 grams. What is the density of the wood? Would the piece of wood float in water? (volume = L x W x H)

Answer 1

Answer:

the wood will sink in water because the density of wood is greater then that of water.

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Explanation:

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Answer 2

• The density of the wood = 1.1 gram/cm³

• The piece of wood will not float in the water.

Given :

A piece of wood that measures 3.0 cm by 6.0 cm by 4.0 cm has a mass of 80.0 grams

To find :

• The density of the wood

• Would the piece of wood float in water

Solution :

Step 1 of 3 :

Calculate the volume of the piece of wood

Here it is given that the piece of wood that measures 3.0 cm by 6.0 cm by 4.0 cm

∴ Volume of the piece of wood

= 3.0 × 6.0 × 4.0 cm³

= 72 cm³

Step 2 of 3 :

Calculate the density of the wood

The density of the wood

$\displaystyle \sf{ = \frac{Mass}{ Volume }}$

$\displaystyle \sf{ = \frac{80}{72} \: \: gram/ {cm}^{3} }$

$\displaystyle \sf{ = 1.11\: \: gram/ {cm}^{3} \:\:(approx) }$

Step 3 of 3 :

Check the piece of wood will float in water or not

The density of the wood = 1.1 gram/cm³

The density of water = 1 gram/cm³

Now , 1.11 > 1

∴ Density of piece of wood > Density of water

Hence the piece of wood will not float in the water.

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