Marion filled a rectangular tank which had a base area of 140 cm
2 and a height of 34.8 cm with water. Then, she placed 4 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 9.8 cm.
- What was the length of each side of the metal cube?
- After Marion removed the metal cubes from the tank, she poured all the water from the tank to fill pots of 0.23 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 4 cubes
= 140 x 9.8
= 1372 cm
3
Volume of 1 cube
= 1372 ÷ 4
= 343 cm
3
Length of the cube
= ³√343
= 7 cm
(b)
Volume of water
= 140 x 34.8
= 4872 cm
3 Number of pots that Marion can fill
= 4872 ÷ 230
= 21 r 42
Maximum number of pots that Marion can fill = 21
Answer(s): (a) 7 cm; (b) 21