Kathy filled a rectangular tank which had a base area of 84 cm
2 and a height of 37.5 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 24.5 cm.
- What was the length of each side of the metal cube?
- After Kathy removed the metal cubes from the tank, she poured all the water from the tank to fill jars of 0.88 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 6 cubes
= 84 x 24.5
= 2058 cm
3
Volume of 1 cube
= 2058 ÷ 6
= 343 cm
3
Length of the cube
= ³√343
= 7 cm
(b)
Volume of water
= 84 x 37.5
= 3150 cm
3 Number of jars that Kathy can fill
= 3150 ÷ 880
= 3 r 510
Maximum number of jars that Kathy can fill = 3
Answer(s): (a) 7 cm; (b) 3