Winnie filled a rectangular tank which had a base area of 25 cm
2 and a height of 35.9 cm with water. Then, she placed 11 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 225.28 cm.
- What was the length of each side of the metal cube?
- After Winnie removed the metal cubes from the tank, she poured all the water from the tank to fill bottles of 0.86 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 11 cubes
= 25 x 225.28
= 5632 cm
3
Volume of 1 cube
= 5632 ÷ 11
= 512 cm
3
Length of the cube
= ³√512
= 8 cm
(b)
Volume of water
= 25 x 35.9
= 897.5 cm
3 Number of bottles that Winnie can fill
= 897.5 ÷ 860
= 1 r 37.5
Maximum number of bottles that Winnie can fill = 1
Answer(s): (a) 8 cm; (b) 1