Emma filled a rectangular tank which had a base area of 75 cm
2 and a height of 20.2 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 160 cm.
- What was the length of each side of the metal cube?
- After Emma removed the metal cubes from the tank, she poured all the water from the tank to fill pots of 0.56 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 12 cubes
= 75 x 160
= 12000 cm
3
Volume of 1 cube
= 12000 ÷ 12
= 1000 cm
3
Length of the cube
= ³√1000
= 10 cm
(b)
Volume of water
= 75 x 20.2
= 1515 cm
3 Number of pots that Emma can fill
= 1515 ÷ 560
= 2 r 395
Maximum number of pots that Emma can fill = 2
Answer(s): (a) 10 cm; (b) 2