Question

A cuboidal water tank is 6m long, 2m wide and 2m high. How many litres of water can it hold when filled up to brim?​

Answer 1

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Given:

• length of cuboidal tank = 6m
• breadth of cuboidal tank = 2m
• height of cuboidal tank = 2m

To Find:

• Amount of water that can be filled.

Diagram:

$\setlength{\unitlength}{0.74 cm}\begin{picture}\thicklines\put(5.6,5.4){\bf A}\put(11.1,5.4){\bf B}\put(11.2,9){\bf C}\put(5.3,8.6){\bf D}\put(3.3,10.2){\bf E}\put(3.3,7){\bf F}\put(9.25,10.35){\bf H}\put(9.35,7.35){\bf G}\put(3.5,6.1){\sf {2m}}\put(7.7,6.3){\sf {6m}}\put(11.3,7.45){\sf {2m}}\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\end{picture}$

Solution:

$Amount \:of \:water\: that \:can\: be \:filled= Volume\:of\: Cuboid \\ Volume \:of \:tank = length \times breadth \times height \\ Volume\:of\:tank = 6m \times 2m \times 2m \\ Volume\:of\:the\:tank = 24m^3 = 24,000litres (1m^3 = 1000l) \\ \bold{The\:tank\:can\:hold\:24000litres\:of\:water\:when\:filled\:up\:to\:brim}$

Formula Used:

• $Volume \:of \:cuboid = length \times breadth \times height$

Learn More:

• Volume of cylinder = πr²h

• T.S.A of cylinder = 2πrh + 2πr²

• Volume of cone = ⅓ πr²h

• C.S.A of cone = πrl

• T.S.A of cone = πrl + πr²

• Volume of cuboid = l × b × h

• C.S.A of cuboid = 2(l + b)h

• T.S.A of cuboid = 2(lb + bh + lh)

• C.S.A of cube = 4a²

• T.S.A of cube = 6a²

• Volume of cube = a³

• Volume of sphere = (4/3)πr³

• Surface area of sphere = 4πr²

• Volume of hemisphere = ⅔ πr³

• C.S.A of hemisphere = 2πr²

• T.S.A of hemisphere = 3πr²