Ivory filled a rectangular tank which had a base area of 50 cm
2 and a height of 22.2 cm with water. Then, she placed 6 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 61.44 cm.
- What was the length of each side of the metal cube?
- After Ivory removed the metal cubes from the tank, she poured all the water from the tank to fill bottles of 0.63 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 6 cubes
= 50 x 61.44
= 3072 cm
3
Volume of 1 cube
= 3072 ÷ 6
= 512 cm
3
Length of the cube
= ³√512
= 8 cm
(b)
Volume of water
= 50 x 22.2
= 1110 cm
3 Number of bottles that Ivory can fill
= 1110 ÷ 630
= 1 r 480
Maximum number of bottles that Ivory can fill = 1
Answer(s): (a) 8 cm; (b) 1