Esther filled a rectangular tank which had a base area of 40 cm
2 and a height of 28.1 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 0.6 cm.
- What was the length of each side of the metal cube?
- After Esther removed the metal cubes from the tank, she poured all the water from the tank to fill cans of 0.49 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 3 cubes
= 40 x 0.6
= 24 cm
3
Volume of 1 cube
= 24 ÷ 3
= 8 cm
3
Length of the cube
= ³√8
= 2 cm
(b)
Volume of water
= 40 x 28.1
= 1124 cm
3 Number of cans that Esther can fill
= 1124 ÷ 490
= 2 r 144
Maximum number of cans that Esther can fill = 2
Answer(s): (a) 2 cm; (b) 2