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?

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

Given :

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

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

Now, substitute the known terms in the above formula.

Now, the volume of an object is given by:

Now, substitute the known terms in the above formula.

375 = 5 3 h

h = 25 cm

For more information, refer to the link given below:

link

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

nlgqer

step-by-step

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."