Gem filled a rectangular container which had a base area of 25 cm
2 and a height of 39.2 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 109.76 cm.
- What was the length of each side of the metal cube?
- After Gem removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.14 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 8 cubes
= 25 x 109.76
= 2744 cm
3
Volume of 1 cube
= 2744 ÷ 8
= 343 cm
3
Length of the cube
= ³√343
= 7 cm
(b)
Volume of water
= 25 x 39.2
= 980 cm
3 Number of bottles that Gem can fill
= 980 ÷ 140
= 7 r 0
Maximum number of bottles that Gem can fill = 7
Answer(s): (a) 7 cm; (b) 7