Diana filled a rectangular tank which had a base area of 100 cm
2 and a height of 24.6 cm with water. Then, she placed 4 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 0.32 cm.
- What was the length of each side of the metal cube?
- After Diana removed the metal cubes from the tank, she poured all the water from the tank to fill cans of 0.74 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 4 cubes
= 100 x 0.32
= 32 cm
3
Volume of 1 cube
= 32 ÷ 4
= 8 cm
3
Length of the cube
= ³√8
= 2 cm
(b)
Volume of water
= 100 x 24.6
= 2460 cm
3 Number of cans that Diana can fill
= 2460 ÷ 740
= 3 r 240
Maximum number of cans that Diana can fill = 3
Answer(s): (a) 2 cm; (b) 3