Jean filled a rectangular tank which had a base area of 48 cm
2 and a height of 35.5 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 8 cm.
- What was the length of each side of the metal cube?
- After Jean removed the metal cubes from the tank, she poured all the water from the tank to fill jars of 0.72 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 6 cubes
= 48 x 8
= 384 cm
3
Volume of 1 cube
= 384 ÷ 6
= 64 cm
3
Length of the cube
= ³√64
= 4 cm
(b)
Volume of water
= 48 x 35.5
= 1704 cm
3 Number of jars that Jean can fill
= 1704 ÷ 720
= 2 r 264
Maximum number of jars that Jean can fill = 2
Answer(s): (a) 4 cm; (b) 2