SOLUTION: A fish tank has a base area of 45 cm squared and is filled with water to a depth of 12cm. If the height of the tank is 25 cm, how much more water will be needed to fill the tank to

Question 1196753: A fish tank has a base area of 45 cm squared and is filled with water to a depth of 12cm. If the height of the tank is 25 cm, how much more water will be needed to fill the tank to the brim?

Found 3 solutions by ewatrrr, math_tutor2020, ikleyn:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

A fish tank has a base area of 45 cm squared and is filled with water to a depth of 12cm. 0r filled with 540mL of water If the height of the tank is 25 cm, how much "more" water will be needed to fill the tank to the brim? 0r 585mL more water will be needed 1cm^3 = mL Wish You the Best in your Studies.

Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

The tutor @ewatrrr has a good approach. Here's a slightly different method.

The water level is 12 cm
The tank's full height is 25 cm
The difference is 25-12 = 13 cm

We have a rectangular block of air, above the water, that has a base area of 45 cm² and height 13 cm

The volume of this block of air is
volume = (area of base)*(height) .... applies to any prism
volume = (45 cm²)*(13 cm)
volume = (45*13)*(cm²*cm)
volume = 585 cm³
volume = 585 cubic cm
volume = 585 mL ......... Recall that 1 cm³ = 1 mL
This is the volume of the block of air, and also the amount of water needed to fill the tank.

Answer: Either 585 cubic cm or 585 mL

Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.

Surely, you can solve the problem, as @ewattr did it, by computing the starting volume, the ending volume
and then making subtraction.

But the meaning of this assignment is to get you an idea, that it is enough to calculate the "empty" volume,
which should be filled.

It can be done in one line and in one arithmetic operation, by multiplying the area by the water rise value.

So, this problem teaches you to make your calculations and to organize your solution in a rational form.

It is the major goal of this assignment.

////////////////

By the way, with such dimensions that are given in the problem, the tank is very instable - it may easily tip over:
the base area is too small, while the height is too big.

Very unrealistic dimensions . . .

RELATED QUESTIONS
A fish tank has a base area of 45cm2 and is filled with water to a depth of 12cm. If the (answered by Alan3354)
A fish tank has a base area of 45cm2 is filled with water to a depth of 12 centimeters.... (answered by Cromlix)
A fish tank of dimension 40cm*40cm*50cm(depth) is filled with water to a depth of... (answered by Alan3354)
A rectangular prism fish tank holds 40 liters of water when filled to the top. If the... (answered by nyc_function)
A plastic container is in the shape of a rectangular prism. Its base has an area of 30... (answered by ankor@dixie-net.com)
a cuboid fish tank has a base, width 50 cm and length 90cm. if the water is to a... (answered by checkley79)
what is the volume of water in a fish tank that is 90 cm by 55 cm if it is filled to a... (answered by Alan3354)
A rectangular fish tank can be filled with 134,74 litres of water. Calculate the height... (answered by thesvw)
Hi A rectangular tank of height 120cm is half filled with water. When 62.6 litres of... (answered by ikleyn)