D and E are two rectangular containers. The base area of D is 94 cm
2 while that of E is 38 cm
2 . At first, D contained water to a height of 52 cm and E was empty, as shown.
- What was the volume of the water in D at first?
- David 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
= 94 x 52
= 4888 cm
3 (b)
Total base areas
= 94 x 3 + 38
= 320 cm
2 Height of water if the total base area is 320 cm
2 = 4888 ÷ 320
= 15.275 cm
New height of the water level in D
= 15.275 x 3
= 45.825 cm
Answer(s): (a) 4888 cm
3; (b) 45.825 cm