Tina filled a rectangular tank which had a base area of 75 cm
2 and a height of 36.2 cm with water. Then, she placed 4 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 38.88 cm.
- What was the length of each side of the metal cube?
- After Tina removed the metal cubes from the tank, she poured all the water from the tank to fill jars of 0.18 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 4 cubes
= 75 x 38.88
= 2916 cm
3
Volume of 1 cube
= 2916 ÷ 4
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 75 x 36.2
= 2715 cm
3 Number of jars that Tina can fill
= 2715 ÷ 180
= 15 r 15
Maximum number of jars that Tina can fill = 15
Answer(s): (a) 9 cm; (b) 15