Fanny filled a rectangular tank which had a base area of 25 cm
2 and a height of 38.6 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 30.72 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 cans of 0.24 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 12 cubes
= 25 x 30.72
= 768 cm
3
Volume of 1 cube
= 768 ÷ 12
= 64 cm
3
Length of the cube
= ³√64
= 4 cm
(b)
Volume of water
= 25 x 38.6
= 965 cm
3 Number of cans that Fanny can fill
= 965 ÷ 240
= 4 r 5
Maximum number of cans that Fanny can fill = 4
Answer(s): (a) 4 cm; (b) 4