Question

What is the mass(in grams) of an aluminum block whose dimensions are 2.0in.*3.0in.*4.0in. and whose density is 2.7g/cm^3? Given that 1in.=2.54cm.​

Answer 1

Given:

Dimensions of an aluminium block = 2.0in.× 3.0in. × 4.0in.

Density = 2.7 gcm⁻³

To find:

Mass of an aluminium block

Solution:

Formula for density that is used the given question will be-

         $Density = \frac{Mass}{Volume}$

or,       $d = \frac{m}{V}$

Formula to find volume of an aluminium block is -

    Volume = length × breadth × height

here, length = 2.0in

         breadth = 3.0in

         height = 4.0in

so, putting values of length, breadth and height we get,

     Volume = 2.0 × 3.0 × 4.0

                   = 12 in³

we know,   1in. = 2.54cm

therefore,   $Volume = 12in^3. \times \frac{2.54cm}{in.} \times \frac{2.54cm}{in.} \times \frac{2.54cm}{in.}$

                  Volume = 196.64cm³.

now, find mass, then

   Mass = Density × Volume

    Mass = 2.7 gcm⁻³ × 196.64cm³

    Mass = 530.928g

Therefore, mass of an aluminium block is 530.928g.