Find the density of a wooden cube whose side is 12 cm long and has a mass of 3-5 kg-A- 1058-8 kg - m 3B- 205 kg - m 3C- 2058-8 kg - m 3D- 208 kg - m 3

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Standard VIII

Physics

Density

Find the dens...

Question

Find the density of a wooden cube whose side is $12 c m$ long and has a mass of $3.5 k g$ .

$1058.8 k g / m^{3}$

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$205 k g / m^{3}$

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$2058.8 k g / m^{3}$

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$208 k g / m^{3}$

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Solution

The correct option is C
$2058.8 k g / m^{3}$

Given: Mass $m = 3.5 k g$ , Side length $l = 12 c m = 0.12 m$

To find the density of the cube, first we need to find the volume of the cube. We calculate it using the formula. Volume of a cube $V = l^{3}$

So, $V = (0.12)^{3} = 0.0017 m^{3}$

Now, density $ρ$ = $\frac{M a s s}{V o l u m e}$

$∴$ $ρ$ = $\frac{3.5}{0.0017}$ = $2058.8 k g / m^{3}$

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Find the density of a wooden cube whose side is 12 cm long and has a mass of 3.5 kg.

Find the density of a wooden cube whose side is $12 c m$ long and has a mass of $3.5 k g$ .