Question

Zed is making a centerpiece for his dining room table by putting sand in a cube-shaped vase. The vase is 0.25 meters in length, width, and height. He bought 25 kg of sand. Assume the density of dry sand is 1,602 kgm3. What is the volume of the sand that Zed purchased?
The volume of the sand is approximately __________ m3.

Enter your answer as the number that correctly fills in the blank in the previous sentence. If necessary, round your answer to six decimal places, like so: 42.536475

Answer 1

Hello!

The answer is:

The volume of the sand is approximately 0.015605 m3

Why?

To solve the problem, and find the volume of the sand that Zed purchased, we need to use the formula to calculate the density and isolate the volume from it.

So, solving we have:

$density=\frac{mass}{volume}$

From the statement we know that:

The mass of the sand is 25 kg

The density of the dry sand is 1,602 kg/m3

So, substituting and solving we have:

$density=\frac{mass}{volume}\\\\volume=\frac{mass}{density}\\\\volume=\frac{25kg}{1,602\frac{kg}{m^{3}}}=0.015605m^{3}$

Hence, the volume of the sand is approximately 0.015605 m3

Have a nice day!