Nicole filled a rectangular container which had a base area of 30 cm
2 and a height of 35.9 cm with water. Then, she placed 6 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 43.2 cm.
- What was the length of each side of the metal cube?
- After Nicole removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.26 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 6 cubes
= 30 x 43.2
= 1296 cm
3
Volume of 1 cube
= 1296 ÷ 6
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 30 x 35.9
= 1077 cm
3 Number of bottles that Nicole can fill
= 1077 ÷ 260
= 4 r 37
Maximum number of bottles that Nicole can fill = 4
Answer(s): (a) 6 cm; (b) 4