Prism Total

A fish tank with base 100cm by 200cm and depth 100cm...?

A fish tank with base 100cm by 200cm and depth 100cm contains water to a depth of 50cm. A solid metal rectangular prism with dimensions 80cm by 100cm by 60cm is then submerged in the tank with an 80cm by 100cm face on the bottom. What is the depth of water, in centimeters, above the prism?
How would you solve this? I don't even know where to start.

Okay, I had to draw a picture ot figure this one out, so get out your writing utensil and paper.

First, draw a rectangular prism for your fish tank. label the length, width, and height. (I made 200 the length of the bottom-front, 100 the height, and 100 the length of the bottom-side)

Anyway. Draw a line about the midpoint of the height, and label that 50 cm tall. Now, figure out the volume of the water, which is 100x 200 x 50, or 1,000,000 cm cubed

Now, draw your metal block, and label those sides. Find the volume of the metal prism.
80x 100x 60 = 480,000 cm cubed.

Now, add the volume of the water and the volume of the prism. Total: 1,480,000

Now, you need to figure out the height of the water, si? Well, since the bottom of the fish tank is 200 cm x 100 cm, you divide 1,480,000 by (200x 100) ( 1,480,000 / 20,000 )

The result is 74 cm, which is the height of the water in the tank. Then, you subtract the height of the prism (60) from the height of the water (74,) and your answer will be 14 cm. :)

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