Selina solutions

# Question 6

Q6) A piece of wood of mass 150 g has a volume of 200 cm³. Find the density of wood in (a) C.GS unit, (b) S.I. unit

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• Transcript

Solution:

(a) Mass of wood = 150g

Volume of wood = 200cm³

Density = m/v

D = 150/200

D - 0.75 g/cm³

(b) In SI system = 0.75 x 1000 = 750 kg/m³

"hello students welcome to lido learning's question and answer videos so let's have a look at the question here so a piece of wood of mass 150 grams has a volume of 200 centimeter cube we have to find the density of wood in acgs unit and bsi unit so let's start with cgs because it's already given in grams and centimeters so we know that density is equal to mass per unit volume let's quickly calculate this so we get 150 in grams per unit volume means 200 centimeter choose the volume on solving this we get the answer as point or 0.75 grams per centimeter cube so this is the answer for density in cgs system of units now let's find out the answer to s i unit so si unit means we have to convert grams to kilograms and the mean centimeter cube to meter cube so the answer will be kg per meter cube how do we do that so now we know the density is 0.75 grams per centimeter cube let's convert the grams into kilograms first so we know that 1000 grams is equal to 1 kilogram so therefore 0.75 grams will be equal to how much kilograms right so we get 0.75 divided by 1000 kilograms so this is our mass so let's write down substitute in the formula for density that is mass upon volume so we get 0.75 upon 1000 now this has to be divided by the volume right so let's talk about the volume now we have got one centimeter cube we have to convert this into meter cube now we know one centi so you know one centimeter is one by hundred meter so one centimeter cube will be one by one zero zero zero zero zero zero one followed by six zeros meter cube let's substitute the value here we get this one divided by one zero zero zero zero zero zero meter cube so this is what we have got here so let's just convert this so we get you"

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