MATHEMATICS HIGH SCHOOL

12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise? (1 litre = 1000cm3)a. 6
b. 8
c. 10
d. 20
e. 40

Answers

Answer 1
Answer: So, first you want to find the area of the base of the tank. This is the length times the breadth (or height, same thing). 50 x 30 = 1500. This means that it will take 1500cm3 (1.5 litres) of water for each centimeter of height. 1.5 x 8 = 12, so it would rise 8 centimeters.
Answer 2
Answer:

The water will rise to 8 cm (B)

Further explanation

An aquarium is a space object that is almost the same as a space beam object, where one of the upper sides is uncovered

The beam itself is a 3-dimensional shape formed by three square and rectangular pairs which have 6 sides, 12 edges, and 8 vertices

Volume is a derivative quantity derived from the length of the principal

The unit of volume can be expressed in liters or milliliters or cubic meters

The volume of the aquarium is almost the same as the beam namely:

\large{\boxed{\bold{V=length*\:width*\:height}}}

12 liters of water is poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height.

So from here, it can be seen the volume of the aquarium is:

V = 50 x 30 x 40 = 60,000 cm³ = 60 liters

Because there are 12 liters of water being poured, there is as much space as:

60 liters - 12 liters = 48 liters = 48000 cm³

The height of this space is:

(4800)/(50*30)

= 32

Because the height of the aquarium is 40 cm, the height of the water that has been poured is

40 cm - 32 cm = 8 cm

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Keywords: volume, aquarium, the height of the water

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