Anna filled a rectangular tank which had a base area of 50 cm
2 and a height of 33.4 cm with water. Then, she placed 8 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 116.64 cm.
- What was the length of each side of the metal cube?
- After Anna removed the metal cubes from the tank, she poured all the water from the tank to fill cans of 0.84 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 8 cubes
= 50 x 116.64
= 5832 cm
3
Volume of 1 cube
= 5832 ÷ 8
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 50 x 33.4
= 1670 cm
3 Number of cans that Anna can fill
= 1670 ÷ 840
= 1 r 830
Maximum number of cans that Anna can fill = 1
Answer(s): (a) 9 cm; (b) 1