Eva filled a rectangular tank which had a base area of 30 cm
2 and a height of 37.8 cm with water. Then, she placed 3 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 0.8 cm.
- What was the length of each side of the metal cube?
- After Eva removed the metal cubes from the tank, she poured all the water from the tank to fill jars of 0.45 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 3 cubes
= 30 x 0.8
= 24 cm
3
Volume of 1 cube
= 24 ÷ 3
= 8 cm
3
Length of the cube
= ³√8
= 2 cm
(b)
Volume of water
= 30 x 37.8
= 1134 cm
3 Number of jars that Eva can fill
= 1134 ÷ 450
= 2 r 234
Maximum number of jars that Eva can fill = 2
Answer(s): (a) 2 cm; (b) 2