Roshel filled a rectangular tank which had a base area of 125 cm
2 and a height of 30.4 cm with water. Then, she placed 10 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 2.16 cm.
- What was the length of each side of the metal cube?
- After Roshel removed the metal cubes from the tank, she poured all the water from the tank to fill pots of 0.84 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 10 cubes
= 125 x 2.16
= 270 cm
3
Volume of 1 cube
= 270 ÷ 10
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 125 x 30.4
= 3800 cm
3 Number of pots that Roshel can fill
= 3800 ÷ 840
= 4 r 440
Maximum number of pots that Roshel can fill = 4
Answer(s): (a) 3 cm; (b) 4