Opal filled a rectangular tank which had a base area of 60 cm
2 and a height of 37.1 cm with water. Then, she placed 7 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 3.15 cm.
- What was the length of each side of the metal cube?
- After Opal removed the metal cubes from the tank, she poured all the water from the tank to fill cans of 0.54 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 7 cubes
= 60 x 3.15
= 189 cm
3
Volume of 1 cube
= 189 ÷ 7
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 60 x 37.1
= 2226 cm
3 Number of cans that Opal can fill
= 2226 ÷ 540
= 4 r 66
Maximum number of cans that Opal can fill = 4
Answer(s): (a) 3 cm; (b) 4