Z and A are two rectangular containers. The base area of Z is 72 cm
2 while that of A is 36 cm
2 . At first, Z contained water to a height of 38 cm and A was empty, as shown.
- What was the volume of the water in Z at first?
- Sean then poured some water from Z to A. After that, the height of the water level in Z was twice that in A. What was the new height of the water level in Z?
(a)
Volume of water in Z
= 72 x 38
= 2736 cm
3 (b)
Total base areas
= 72 + 72 + 36
= 180 cm
2 Height of water if the total base area is 180 cm
2 = 2736 ÷ 180
= 15.2 cm
New height of the water level in Z
= 15.2 x 2
= 30.4 cm
Answer(s): (a) 2736 cm
3; (b) 30.4 cm