Usha filled a rectangular tank which had a base area of 40 cm
2 and a height of 33.4 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 218.7 cm.
- What was the length of each side of the metal cube?
- After Usha removed the metal cubes from the tank, she poured all the water from the tank to fill bottles of 0.41 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 12 cubes
= 40 x 218.7
= 8748 cm
3
Volume of 1 cube
= 8748 ÷ 12
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 40 x 33.4
= 1336 cm
3 Number of bottles that Usha can fill
= 1336 ÷ 410
= 3 r 106
Maximum number of bottles that Usha can fill = 3
Answer(s): (a) 9 cm; (b) 3