Fanny filled a rectangular tank which had a base area of 128 cm
2 and a height of 24.1 cm with water. Then, she placed 12 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 6 cm.
- What was the length of each side of the metal cube?
- After Fanny removed the metal cubes from the tank, she poured all the water from the tank to fill bottles of 0.76 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 12 cubes
= 128 x 6
= 768 cm
3
Volume of 1 cube
= 768 ÷ 12
= 64 cm
3
Length of the cube
= ³√64
= 4 cm
(b)
Volume of water
= 128 x 24.1
= 3084.8 cm
3 Number of bottles that Fanny can fill
= 3084.8 ÷ 760
= 4 r 44.8
Maximum number of bottles that Fanny can fill = 4
Answer(s): (a) 4 cm; (b) 4