Cuboid 5

Calculate the mass of the cuboid with dimensions of 12 cm; 0.8 dm and 100 mm made from spruce wood (density = 550 kg/m3).

Result

m =  0.528 kg

Solution:

a=12 cm=12/100 m=0.12 m b=0.8 dm=0.8/10 m=0.08 m c=100 mm=100/1000 m=0.1 m  h=550 kg/m3  V=a⋅ b⋅ c=0.12⋅ 0.08⋅ 0.1≐33125≐0.001 m3  m=h⋅ V=550⋅ 0.001=66125=0.528 kga=12 \ cm=12 / 100 \ m=0.12 \ m \ \\ b=0.8 \ dm=0.8 / 10 \ m=0.08 \ m \ \\ c=100 \ mm=100 / 1000 \ m=0.1 \ m \ \\ \ \\ h=550 \ \text{kg/m}^3 \ \\ \ \\ V=a \cdot \ b \cdot \ c=0.12 \cdot \ 0.08 \cdot \ 0.1 \doteq \dfrac{ 3 }{ 3125 } \doteq 0.001 \ \text{m}^3 \ \\ \ \\ m=h \cdot \ V=550 \cdot \ 0.001=\dfrac{ 66 }{ 125 }=0.528 \ \text{kg}

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Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 2 comments:
#
Math student
You asked for the weight... in physics, weight is expressed in N not kg. You should know this!

#
Dr Math
Thank you, we have corrected 'weight' to 'mass'.

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