Answer: V = 0.6 m.
Step-by-step explanation:
Volume = l x w x h
in this case if you input the cube's values its volume = 1 m and 1 - 0.4 = 0.6m
Volume is a measure of how much space something takes up and is usually measured in cubic centimetres ({cm}^3cm
3
) or cubic metres ({m}^3m
3
). Density is a measure of how tightly the mass of an object is packed into the space it takes up, so we calculate this by dividing its mass by its volume.
{density } = \dfrac{{mass}}{{volume}}density =
volume
mass
As a result, the units we used to measure density are compound units for more information, see here . The unit of choice will depend on what units are used to measure the values you’re given. If, in a particular question, mass is measured in kilograms and volume is measured cubic metres, then the density we calculate would be measured “kilograms per cubic metre”, which is denoted either by {kgm}^{-3}kgm
−3
or kg/m}^3kg/m
3
. If the starting units were different, then the resulting unit of density would be different. Let’s see an example.
Example: An object has a mass of 570g and a volume of 2,280 cm}^3cm
3
. Calculate its density.
As stated, density is equal to the mass divided by the volume, so this will be our calculation, but what will the unit of our answer be? In the question, the mass is given in grams and the volume in cubic centimetres, so the density should be in grams per cubic metre, which is denoted either like \{gm}^{-3}gm
−3
or {g/m}^3g/m
3
.
{Density } = {570}{2,280} = 0.25{ g/m}^3Density =
2,280
570
=0.25 g/m
3
