Mary filled a rectangular tank which had a base area of 100 cm
2 and a height of 34.8 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 2.56 cm.
- What was the length of each side of the metal cube?
- After Mary removed the metal cubes from the tank, she poured all the water from the tank to fill jars of 0.42 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 4 cubes
= 100 x 2.56
= 256 cm
3
Volume of 1 cube
= 256 ÷ 4
= 64 cm
3
Length of the cube
= ³√64
= 4 cm
(b)
Volume of water
= 100 x 34.8
= 3480 cm
3 Number of jars that Mary can fill
= 3480 ÷ 420
= 8 r 120
Maximum number of jars that Mary can fill = 8
Answer(s): (a) 4 cm; (b) 8