Gem filled a rectangular container which had a base area of 135 cm
2 and a height of 33.8 cm with water. Then, she placed 5 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 8 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 jars of 0.67 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 5 cubes
= 135 x 8
= 1080 cm
3
Volume of 1 cube
= 1080 ÷ 5
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 135 x 33.8
= 4563 cm
3 Number of jars that Gem can fill
= 4563 ÷ 670
= 6 r 543
Maximum number of jars that Gem can fill = 6
Answer(s): (a) 6 cm; (b) 6