Respuesta :

Hello! To do this, first find the volumes of the tanks (how much water they can hold), then how much water is in tank P, and finally, how full tank Q would be.

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To find the volume of a rectangular prism, you multiply the length, width, and height.

Tank P:  15 * 12 * 8 = 1440 cm³

Tank Q:  10 * 20 * 6 = 1200 cm³

Now, we know that tank P is half full. Therefore, the volume of the water must be half that of the whole volume of tank P. We know the volume of Tank P is 1440 cm³, so just divide by 2.

1440/2 = 720 cm³

Therefore, there is 720 cm³ amount of water in Tank P. Finally, find how much of Tank Q this amount of water would occupy.

Set up a fraction to do this:

720 / 1200 = 0.6 = 3/5

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Therefore, 3/5 of Tank Q is filled.

Hope this helps!