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ML Aggarwal Solutions Class 9 Mathematics Solutions for Mensuration Exercise 16.4 in Chapter 16 - Mensuration
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A cube of 11 cm edge is immersed completely in a rectangular vessel containing water. If the
dimensions of the base of the vessel are 15 cm × 12 cm, find the rise in the water level in centimeters correct
to 2 decimal places, assuming that no water overflows.
Answer:
It is given that
Edge of cube = 11 cm
We know that
The dimensions of the base of the vessel are 15 cm × 12 cm
Consider the rise in the water level = h cm
So the volume of cube = volume of the vessel
Substituting the values
1331 = 15 × 12 × h
By further calculation
h = 1331/ (15 × 12)
So we get
h = 1331/ 180 = 7.39 cm
Therefore, the rise in the water level is 7.39 cm.
Video transcript
"hello and welcome idea students
i am rishabh the math to the run leader
and i'm here
with a new question it is a cube of 11
centimeter edge
is immersed completely in a rectangular
vessel containing water
if the dimensions of the base of the
vessel are 15 centimeter into 12
centimeter
finally rise in the water level and the
centimeters corrected two decimal places
assuming that no water overflows
so without wasting much time let's have
a look at the solution
so we have been given
that the edge of cube is
11 centimeter we'll first find out the
volume of the cube
the volume of cube is nothing but the
side cube
which is 11q solving it
we get one three three one centimeter
q now we know that
the dimensions of the vessel are 15 into
12.
so we have been given the dimensions
of the base of the vessel are
15 centimeter
into 12 centimeter
now let's consider
consider
the rise in the water level
has h centimeter
and we know that the volume of
q
is equal to volume of vessel
so we'll substitute the values and we
get
1 3 3 1 is equals to 15
into 12 into h which is nothing but
equals to
1 3 3 1 divided by 180
so multiplying 15 and 12 will get 180
so dividing it we get 7.39
centi meters
be careful that we are supposed to find
out the answer
up to two decimal places
so the height is
7.39 centimeter
i hope my students got this question
well do not forget to hit the subscribe
button
you can also share your doubts in the
comment section see you next time
bye
"
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