Vanessa filled a rectangular tank which had a base area of 64 cm
2 and a height of 33.6 cm with water. Then, she placed 9 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 140.625 cm.
- What was the length of each side of the metal cube?
- After Vanessa removed the metal cubes from the tank, she poured all the water from the tank to fill cans of 0.23 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 9 cubes
= 64 x 140.625
= 9000 cm
3
Volume of 1 cube
= 9000 ÷ 9
= 1000 cm
3
Length of the cube
= ³√1000
= 10 cm
(b)
Volume of water
= 64 x 33.6
= 2150.4 cm
3 Number of cans that Vanessa can fill
= 2150.4 ÷ 230
= 9 r 80.4
Maximum number of cans that Vanessa can fill = 9
Answer(s): (a) 10 cm; (b) 9