Xandra filled a rectangular tank which had a base area of 100 cm
2 and a height of 30.6 cm with water. Then, she placed 7 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 70 cm.
- What was the length of each side of the metal cube?
- After Xandra removed the metal cubes from the tank, she poured all the water from the tank to fill cans of 0.85 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 7 cubes
= 100 x 70
= 7000 cm
3
Volume of 1 cube
= 7000 ÷ 7
= 1000 cm
3
Length of the cube
= ³√1000
= 10 cm
(b)
Volume of water
= 100 x 30.6
= 3060 cm
3 Number of cans that Xandra can fill
= 3060 ÷ 850
= 3 r 510
Maximum number of cans that Xandra can fill = 3
Answer(s): (a) 10 cm; (b) 3