PLZ help me super really really fast

Mathematics

1 answer:

maria [59]2 years ago

4 0

Answer:

A. 3 cm

Step-by-step explanation:

The smallest face has the sides 4 cm and 8 cm. If the water is 4 cm from its top, then the height of the water is $16-4=12$ cm and the volume of the water is

$V_{water}=4\cdot 8\cdot 12=384\ cm^3$

The largest face has the sides 8 cm and 16 cm. If the container is placed on its largest face, then the volume of the water is

$V_{water}=8\cdot 16\cdot h \ cm^3,$

where h is the height of the water.

Equate volumes of the water:

$8\cdot 16\cdot h=384\\ \\h=\dfrac{384}{8\cdot 16}=3\ cm$

Therefore, the water is 3 cm from the bottom.

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