Betty filled a rectangular tank which had a base area of 135 cm
2 and a height of 32.7 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 1.2 cm.
- What was the length of each side of the metal cube?
- After Betty removed the metal cubes from the tank, she poured all the water from the tank to fill jars of 0.24 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 6 cubes
= 135 x 1.2
= 162 cm
3
Volume of 1 cube
= 162 ÷ 6
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 135 x 32.7
= 4414.5 cm
3 Number of jars that Betty can fill
= 4414.5 ÷ 240
= 18 r 94.5
Maximum number of jars that Betty can fill = 18
Answer(s): (a) 3 cm; (b) 18