The figure, not drawn to scale, is made of two connected cubical tanks, V and W. Tank V is sealed at the top and completely filled to the brim. Tank W is ²₃ filled with 184248 mℓ of water. The height of the water level in Tank W is 3 cm higher than that in Tank V. Height of Tank W is 66 cm. Water is then drained from the container and the height of the water level from the base falls to 36 cm.

1. What is the capacity of Tank W in litres?
2. What is the volume of water in the tank now in litres?

(a)
²₃ of Tank W = 184248 mℓ
¹₃ of Tank W = 184248 ÷ 2 = 92124 mℓ
³₃ of Tank W = 92124 x 3 = 276372 mℓ

1 ℓ = 1000 mℓ

Capacity of Tank W = 276372 mℓ = 276.372 ℓ

(b)
Fraction of Tank W not filled
= 1 - ²₃
= ¹₃

Height of Tank W not filled
= ¹₃ x 66 cm
= 22 cm

Height of Tank V
= 66 - 22 - 3
= 41 cm

Volume of remaining water in Tank V
= 41 x 41 x 36
= 60516 cm³ 

Volume of remaining water in Tank W
= 66 x 66 x 36
= 156816 cm³ 

Total volume of remaining water in the tank
= 60516 + 156816
= 217332 cm³

1 ℓ = 1000 cm³
217332 cm³ = 217.332 ℓ

Answer(s): (a) 276.372 ℓ; (b) 217.332 ℓ