Q. 23.7( 24 Votes )

# To make an open fish tank, a glass sheet of 2 mm gauge is used. The outer length, breadth and height of the tank are 60.4 cm, 40.4 cm and 40.2 cm respectively. How much maximum volume of water will be contained in it?

Answer :

The fish tank is cuboidal.

Although it is open from the top, it won’t affect our calculations for finding volume of the fish tank.

Outer dimensions:

Length (l’) = 60.4 cm

Breadth (b’) = 40.4 cm

Height (h’) = 40.2 cm

Width of the gauge is width of the tank (w) = 2 mm = 0.2 cm [∵, 1 mm = 10^{-1} cm]

⇒ 2w = 2 × 0.2 = 0.4 cm

Inner dimensions:

Length (l) = l’ – 2w = 60.4 – 0.4 = 60 cm

Breadth (b) = b’ – 2w = 40.4 – 0.4 = 40 cm

Height (h) = h’ – 2w = 40.2 – 0.4 = 39.8 cm

Volume of the cuboidal fish tank is given by,

Volume = lbh

= 60 × 40 × 39.8

= 95520 cm^{3}

Thus, volume of water that the fish tank will contain is 95520 cm^{3}.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Surface Area of Right Circular Cylinder52 mins

Surface Area of Right Circular Cylinder49 mins

Surface Area of Cube and Cuboid49 mins

Surface Area and Volume of Spheres40 mins

Quiz | Surface Area & Volumes49 mins

Surface Area and Volume of Right Circular Cylinders42 mins

Surface Area and Volume of Right Circular Cone37 mins

Quiz | Area and Parallelogram46 mins

Quiz | Area of Parallelogram and Triangles43 mins

Champ Quiz | Area of Triangle53 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :