kirstcn
Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

A square-based rectangular aquarium is filled with water. The side length of the
base is 40 cm. The height of the aquarium is 50 cm. The height of the water is
equal to half the height of the aquarium. A solid cube with side length 20 cm is
then thrown into the aquarium and sinks to the bottom.

Does the water level now reach the top of the tank? If not, how far below the top
of the tank does the water reach?

A Squarebased Rectangular Aquarium Is Filled With Water The Side Length Of The Base Is 40 Cm The Height Of The Aquarium Is 50 Cm The Height Of The Water Is Equa class=

Sagot :

abhi569

Answer:

From bottom = 30 cm

Below top = 20 cm

Step-by-step explanation:

Length & breadth of the aquarium = 40cm(as it is square)

Volume of aquarium = l x b x h

volume of aquarium = 40 x 40 x 50 = 80000 cm³

Volume of water = ½ half of aquarium

Volume of water = ½ x 80000 = 40000 cm³

Volume of the solid cube = a³ = (20cm)³ = 8000cm³

Surely, 40000>>>8000, level doesnt reach the top of the tank.

Volume acquired = 40000+8000=48000 cm³

Now, let it has reached reached a height h from the ground(bottom).

Volume = 48000 => lx b x h = 48000

=> 40 x 40 x h = 48000

=> h = 30 cm

The height at which water has reached is 30 cm(from bottom).

Thus, below the top it has reached = total height - 30 cm = 50 - 30 = 20 cm

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.