Tiffany filled a rectangular tank which had a base area of 128 cm
2 and a height of 22.4 cm with water. Then, she placed 6 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 24 cm.
- What was the length of each side of the metal cube?
- After Tiffany removed the metal cubes from the tank, she poured all the water from the tank to fill bottles of 0.12 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 6 cubes
= 128 x 24
= 3072 cm
3
Volume of 1 cube
= 3072 ÷ 6
= 512 cm
3
Length of the cube
= ³√512
= 8 cm
(b)
Volume of water
= 128 x 22.4
= 2867.2 cm
3 Number of bottles that Tiffany can fill
= 2867.2 ÷ 120
= 23 r 107.2
Maximum number of bottles that Tiffany can fill = 23
Answer(s): (a) 8 cm; (b) 23