Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the tank is 40 cm by 28 cm. When he f

Question

2 years ago

14

inished pouring the water, the tank was ⅔ full. ( 1L=1,000 cm 3).

1 answer:

vazorg [7] · Answer 1 · 2023-06-21T20:05:12+03:00

By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm

<h3>How to find the height of the tank?</h3>

We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.

So we can write:

27,238 cm³ = (2/3)*V

Then the volume of the tank is:

V = (3/2)*27,238 cm³ = 40,992 cm³

The base of the tank measures 40cm by 28cm, then:

B = 40cm*28cm = 1,120 cm²

Then the height H is such that:

H*1,120 cm² = 40,992 cm³

Solving for H:

H = (40,992 cm³)/(1,120 cm²) = 36.6cm

The height of the tank is 36.6 centimeters.

If you want to learn more about volumes:

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