Risa filled a rectangular container 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 container. As a result, the height of the water in the rectangular container increased by 51.2 cm.
- What was the length of each side of the metal cube?
- After Risa removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.12 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 9 cubes
= 90 x 51.2
= 4608 cm
3
Volume of 1 cube
= 4608 ÷ 9
= 512 cm
3
Length of the cube
= ³√512
= 8 cm
(b)
Volume of water
= 90 x 36.4
= 3276 cm
3 Number of bottles that Risa can fill
= 3276 ÷ 120
= 27 r 36
Maximum number of bottles that Risa can fill = 27
Answer(s): (a) 8 cm; (b) 27