Marion filled a rectangular tank which had a base area of 120 cm
2 and a height of 23.8 cm with water. Then, she placed 12 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 100 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 jars of 0.87 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 12 cubes
= 120 x 100
= 12000 cm
3
Volume of 1 cube
= 12000 ÷ 12
= 1000 cm
3
Length of the cube
= ³√1000
= 10 cm
(b)
Volume of water
= 120 x 23.8
= 2856 cm
3 Number of jars that Marion can fill
= 2856 ÷ 870
= 3 r 246
Maximum number of jars that Marion can fill = 3
Answer(s): (a) 10 cm; (b) 3