Kylie filled a rectangular tank which had a base area of 40 cm
2 and a height of 22.7 cm with water. Then, she placed 3 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 25.725 cm.
- What was the length of each side of the metal cube?
- After Kylie removed the metal cubes from the tank, she poured all the water from the tank to fill bottles of 0.16 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 3 cubes
= 40 x 25.725
= 1029 cm
3
Volume of 1 cube
= 1029 ÷ 3
= 343 cm
3
Length of the cube
= ³√343
= 7 cm
(b)
Volume of water
= 40 x 22.7
= 908 cm
3 Number of bottles that Kylie can fill
= 908 ÷ 160
= 5 r 108
Maximum number of bottles that Kylie can fill = 5
Answer(s): (a) 7 cm; (b) 5