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A rectangular swimming pool has the dimensions of 26m long, 4m wide, and 2.5 m deep (high). The density of the water in the pool is 1.62 g/m3. What is the mass of the water in the pool? (hint: volume of a rectangle is L x w x h) Show your work!

Respuesta :

sebassandin

Answer:

[tex]m=421.2g[/tex]

Explanation:

Hello.

In this case, we first compute the volume of the pool via:

[tex]V=L*W*H\\\\V=26m*4m*2.5m\\\\V=260m^3[/tex]

Then, since the density is defined as the mass divided by the volume, we compute the mass as follows:

[tex]\rho=\frac{m}{V}\\ \\m=\rho*V\\\\m=1.62g/m^3*260m^3\\\\m=421.2g[/tex]

Best regards.

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