Jade filled a rectangular tank which had a base area of 20 cm
2 and a height of 39.3 cm with water. Then, she placed 12 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 75 cm.
- What was the length of each side of the metal cube?
- After Jade removed the metal cubes from the tank, she poured all the water from the tank to fill cans of 0.47 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 12 cubes
= 20 x 75
= 1500 cm
3
Volume of 1 cube
= 1500 ÷ 12
= 125 cm
3
Length of the cube
= ³√125
= 5 cm
(b)
Volume of water
= 20 x 39.3
= 786 cm
3 Number of cans that Jade can fill
= 786 ÷ 470
= 1 r 316
Maximum number of cans that Jade can fill = 1
Answer(s): (a) 5 cm; (b) 1