Erika filled a rectangular tank which had a base area of 90 cm
2 and a height of 36.4 cm with water. Then, she placed 9 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 2.7 cm.
- What was the length of each side of the metal cube?
- After Erika removed the metal cubes from the tank, she poured all the water from the tank to fill pots of 0.59 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 9 cubes
= 90 x 2.7
= 243 cm
3
Volume of 1 cube
= 243 ÷ 9
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 90 x 36.4
= 3276 cm
3 Number of pots that Erika can fill
= 3276 ÷ 590
= 5 r 326
Maximum number of pots that Erika can fill = 5
Answer(s): (a) 3 cm; (b) 5