D and E are two rectangular tanks. The base area of D is 72 cm
2 while that of E is 40 cm
2 . At first, D contained water to a height of 48 cm and E was empty, as shown.
- What was the volume of the water in D at first?
- Dylan then poured some water from D to E. After that, the height of the water level in D was thrice that in E. What was the new height of the water level in D?
(a)
Volume of water in D
= 72 x 48
= 3456 cm
3 (b)
Total base areas
= 72 x 3 + 40
= 256 cm
2 Height of water if the total base area is 256 cm
2 = 3456 ÷ 256
= 13.5 cm
New height of the water level in D
= 13.5 x 3
= 40.5 cm
Answer(s): (a) 3456 cm
3; (b) 40.5 cm