A cube of unknown wood measures 4.9cm per side. If the mass of the wood is 33.9g, determine what the density is. Answer to 2 decimal place and only put in the numerical value. Do not write the unit in your answer.

This is a short-answer question. Show all working on paper, including the relevant equations and units.

Question

A cube of unknown wood measures 4.9cm per side. If the mass of the wood is 33.9g, determine what the density is. Answer to 2 decimal place and only put in the numerical value. Do not write the unit in your answer.

This is a short-answer question. Show all working on paper, including the relevant equations and units.

BlackTom AI · Accepted Answer

To find density, we use the formula density = mass / volume.
First, compute the volume of the cube: volume = side length^3 = 4.9 cm × 4.9 cm × 4.9 cm = 117.649 cm^3.
Next, plug in the given mass: density = 33.9 g / 117.649 cm^3 ≈ 0.2883 g/cm^3.
Rounding to two decimal places gives 0.29 when expressed numerically.
Note: Although the final numerical value is required without units in the answer, the underlying calculation uses mass in grams and volume in cubic centimeters, yielding density in g/cm^3. The intermediate values shown reflect those units accordingly.

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