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).

Correct answer:

m =  0.528 kg

Step-by-step explanation:

$$\begin{gathered} a=12\text{ cm}\to \text{ m}=12\mathrm{/}100\text{ m}=0.12\text{ m } \\ b=0.8\text{ dm}\to \text{ m}=0.8\mathrm{/}10\text{ m}=0.08\text{ m } \\ c=100\text{ mm}\to \text{ m}=100\mathrm{/}1000\text{ m}=0.1\text{ m } \\ h=550{\text{kg/m}}^3 \\ V=a\cdot b\cdot c=0.12\cdot 0.08\cdot 0.1={\displaystyle \frac{3}{3125}}\doteq 0.001{\text{m}}^3 \\ m=h\cdot V=550\cdot 0.001={\displaystyle \frac{66}{125}}={\displaystyle \frac{66}{125}}\text{ kg}=0.528\text{ kg} \end{gathered}$$

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Showing 2 comments:

Math student

You asked for the weight... in physics, weight is expressed in N not kg. You should know this!

1 year ago  Like

Dr Math

Thank you, we have corrected 'weight' to 'mass'.

1 year ago  Like

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