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Q.

A cubical vessel is 10m long and 8m wide. How high must it be made to hold 380 cubic meters of a liquid?


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a

4.75 m

b

 6.25 m

c

 5 m

d

 4.25 m 

answer is A.

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Detailed Solution

  Concept- Use the straight forward formula for the volume of a cube to compute the height of the cubical vessel in this question, which is V=lbh  m 3   . Given that it must store this much liquid, the capacity of this cube should be estimated as 380 cubic metres.
The cuboidal vessel is seen in the image above.
The vessel is described as having a length (l) of 10 m and a width (b) of 8 m.
Now we need to figure out how tall the container has to be to accommodate 380 cubic metres of liquid.
As a result, the cuboidal vessel's volume (V) is equal to 380 m3.
As we already know, a cuboidal vessel's volume is calculated by multiplying its length, breadth, and height.
⇒V=lbh  m 3  
Now change the values in the equation we have above to:
⇒380=10×8×h  
⇒h= 380 80 = 38 8 = 19 4 =4.75   meter.
Consequently, the cuboidal vessel has a 4.75 metre height.
Hence, the correct answer is option 1.
 
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A cubical vessel is 10m long and 8m wide. How high must it be made to hold 380 cubic meters of a liquid?