Rachel filled a rectangular tank which had a base area of 25 cm
2 and a height of 24.9 cm with water. Then, she placed 11 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 150.92 cm.
- What was the length of each side of the metal cube?
- After Rachel removed the metal cubes from the tank, she poured all the water from the tank to fill cans of 0.41 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 11 cubes
= 25 x 150.92
= 3773 cm
3
Volume of 1 cube
= 3773 ÷ 11
= 343 cm
3
Length of the cube
= ³√343
= 7 cm
(b)
Volume of water
= 25 x 24.9
= 622.5 cm
3 Number of cans that Rachel can fill
= 622.5 ÷ 410
= 1 r 212.5
Maximum number of cans that Rachel can fill = 1
Answer(s): (a) 7 cm; (b) 1