Shannon filled a rectangular container which had a base area of 120 cm
2 and a height of 32.8 cm with water. Then, she placed 3 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 18.225 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 0.21 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 3 cubes
= 120 x 18.225
= 2187 cm
3
Volume of 1 cube
= 2187 ÷ 3
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 120 x 32.8
= 3936 cm
3 Number of pots that Shannon can fill
= 3936 ÷ 210
= 18 r 156
Maximum number of pots that Shannon can fill = 18
Answer(s): (a) 9 cm; (b) 18