Emma filled a rectangular tank which had a base area of 120 cm
2 and a height of 22.3 cm with water. Then, she placed 5 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 1.125 cm.
- What was the length of each side of the metal cube?
- After Emma removed the metal cubes from the tank, she poured all the water from the tank to fill cans of 0.69 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 5 cubes
= 120 x 1.125
= 135 cm
3
Volume of 1 cube
= 135 ÷ 5
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 120 x 22.3
= 2676 cm
3 Number of cans that Emma can fill
= 2676 ÷ 690
= 3 r 606
Maximum number of cans that Emma can fill = 3
Answer(s): (a) 3 cm; (b) 3