Shannon filled a rectangular container which had a base area of 60 cm
2 and a height of 24.5 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 150 cm.
- What was the length of each side of the metal cube?
- After Shannon removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.27 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 9 cubes
= 60 x 150
= 9000 cm
3
Volume of 1 cube
= 9000 ÷ 9
= 1000 cm
3
Length of the cube
= ³√1000
= 10 cm
(b)
Volume of water
= 60 x 24.5
= 1470 cm
3 Number of pots that Shannon can fill
= 1470 ÷ 270
= 5 r 120
Maximum number of pots that Shannon can fill = 5
Answer(s): (a) 10 cm; (b) 5