D and E are two rectangular containers. The base area of D is 90 cm
2 while that of E is 34 cm
2 . At first, D contained water to a height of 38 cm and E was empty, as shown.
- What was the volume of the water in D at first?
- Perry 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
= 90 x 38
= 3420 cm
3 (b)
Total base areas
= 90 x 3 + 34
= 304 cm
2 Height of water if the total base area is 304 cm
2 = 3420 ÷ 304
= 11.25 cm
New height of the water level in D
= 11.25 x 3
= 33.75 cm
Answer(s): (a) 3420 cm
3; (b) 33.75 cm