Z and A are two rectangular tanks. The base area of Z is 96 cm
2 while that of A is 32 cm
2 . At first, Z contained water to a height of 39 cm and A was empty, as shown.
- What was the volume of the water in Z at first?
- Albert then poured some water from Z to A. After that, the height of the water level in Z was thrice that in A. What was the new height of the water level in Z?
(a)
Volume of water in Z
= 96 x 39
= 3744 cm
3 (b)
Total base areas
= 96 x 3 + 32
= 320 cm
2 Height of water if the total base area is 320 cm
2 = 3744 ÷ 320
= 11.7 cm
New height of the water level in Z
= 11.7 x 3
= 35.1 cm
Answer(s): (a) 3744 cm
3; (b) 35.1 cm