Elyse filled a rectangular container which had a base area of 72 cm
2 and a height of 23.2 cm with water. Then, she placed 9 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 125 cm.
- What was the length of each side of the metal cube?
- After Elyse removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.64 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 9 cubes
= 72 x 125
= 9000 cm
3
Volume of 1 cube
= 9000 ÷ 9
= 1000 cm
3
Length of the cube
= ³√1000
= 10 cm
(b)
Volume of water
= 72 x 23.2
= 1670.4 cm
3 Number of bottles that Elyse can fill
= 1670.4 ÷ 640
= 2 r 390.4
Maximum number of bottles that Elyse can fill = 2
Answer(s): (a) 10 cm; (b) 2