Zoe filled a rectangular tank which had a base area of 50 cm
2 and a height of 26.1 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 5.12 cm.
- What was the length of each side of the metal cube?
- After Zoe removed the metal cubes from the tank, she poured all the water from the tank to fill pots of 0.77 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 4 cubes
= 50 x 5.12
= 256 cm
3
Volume of 1 cube
= 256 ÷ 4
= 64 cm
3
Length of the cube
= ³√64
= 4 cm
(b)
Volume of water
= 50 x 26.1
= 1305 cm
3 Number of pots that Zoe can fill
= 1305 ÷ 770
= 1 r 535
Maximum number of pots that Zoe can fill = 1
Answer(s): (a) 4 cm; (b) 1