Gem filled a rectangular tank which had a base area of 120 cm
2 and a height of 35.9 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 2.475 cm.
- What was the length of each side of the metal cube?
- After Gem removed the metal cubes from the tank, she poured all the water from the tank to fill pots of 0.41 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 11 cubes
= 120 x 2.475
= 297 cm
3
Volume of 1 cube
= 297 ÷ 11
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 120 x 35.9
= 4308 cm
3 Number of pots that Gem can fill
= 4308 ÷ 410
= 10 r 208
Maximum number of pots that Gem can fill = 10
Answer(s): (a) 3 cm; (b) 10