Question

The density of an object can be calculated by dividing the object's mass by its volume. A rectangular prism has a density of 15g/cm3. The prism has a mass of 5,625 g. The length of the object is 5 cm. The width of the object is 3 cm. What is the height of the object?

Answer 1

density = mass/ volume

volume = mass/ density

volume = 5625 / 15 = 375 cm^3

volume = l x w x h

375 = 5 * 3 * X

375 = 15

x = 375/15 = 25

height = 25 cm

Answer 2

The height of the object is 25 cm and this can be determined by using the formula of density and volume.

Given :

• The density of an object can be calculated by dividing the object's mass by its volume.
• A rectangular prism has a density of 15g/$\rm cm^3$.
• The prism has a mass of 5,625 g.
• The length of the object is 5 cm.
• The width of the object is 3 cm.

The height of the object can be determined by using the formula of density. The formula of density is given by:

$\rm d = \dfrac{m}{V}$

where d is the density, m is the mass, and V is the volume.

Now, substitute the known terms in the above formula.

$\rm V = \dfrac{5625}{15}= 375\;cm^3$

Now, the volume of an object is given by:

$\rm V = l \times w\times b$

Now, substitute the known terms in the above formula.

375 = 5 $\times$ 3 $\times$ h

h = 25 cm

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