Nora filled a rectangular tank which had a base area of 30 cm
2 and a height of 20.8 cm with water. Then, she placed 9 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 2.4 cm.
- What was the length of each side of the metal cube?
- After Nora removed the metal cubes from the tank, she poured all the water from the tank to fill pots of 0.17 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 9 cubes
= 30 x 2.4
= 72 cm
3
Volume of 1 cube
= 72 ÷ 9
= 8 cm
3
Length of the cube
= ³√8
= 2 cm
(b)
Volume of water
= 30 x 20.8
= 624 cm
3 Number of pots that Nora can fill
= 624 ÷ 170
= 3 r 114
Maximum number of pots that Nora can fill = 3
Answer(s): (a) 2 cm; (b) 3