Raeann filled a rectangular tank which had a base area of 20 cm
2 and a height of 34.1 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 550 cm.
- What was the length of each side of the metal cube?
- After Raeann removed the metal cubes from the tank, she poured all the water from the tank to fill pots of 0.62 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 11 cubes
= 20 x 550
= 11000 cm
3
Volume of 1 cube
= 11000 ÷ 11
= 1000 cm
3
Length of the cube
= ³√1000
= 10 cm
(b)
Volume of water
= 20 x 34.1
= 682 cm
3 Number of pots that Raeann can fill
= 682 ÷ 620
= 1 r 62
Maximum number of pots that Raeann can fill = 1
Answer(s): (a) 10 cm; (b) 1