# NCERT Solutions Class 9 Mathematics Solutions for Surface Areas and Volumes - Exercise 13.5 in Chapter 13 - Surface Areas and Volumes

Question 3 Surface Areas and Volumes - Exercise 13.5

A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic meters

of a liquid?

Given:

Length of the cuboidal vessel, l = 10 m

Width of cuboidal vessel , b = 8 m

\text { Volume of cuboidal vessel, } V=380 \mathrm{m}^{3}

Let the height of the given vessel be h.

Formula for Volume of a cuboid, V = l x b x h

Using formula, we have

l x b x h = 380

(10) (8) h = 380

Or h = 4.75

Therefore, the height of the vessels is 4.75 m.

Video transcript
"hello students welcome to lido q a video session i am seth your math tutor and question for today is a cuboidal vessel is 10 meter long and 8 meter wide how high must it be made to hold 380 cubic meters of liquid given to us is length and width length of the cuboidal vessel let us assume it to be l which is equal to 10 meter and with the let us assume it to be b here b is 8 meter now volume of the cuboidal vessel v is given that is 380 meters cube hence first of all let the height of the vessel be h we have to find the height let us assume it to be h we know formula for the volume of the cuboid that is length into breath into height and this is length is 10 breath is 8 height is we need to find and volume is given that is 380 meters cube now to find h 380 divided by 10 into 8 so this will give you after simplification you will get 38 upon 8 and height comes out to be 4.75 4.75 meters therefore height of the vessel is 4.75 meters and that is our final answer if you have any query you can drop it in our comment section and subscribe to dido for more such q a thank you for watching"
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