Barbara filled a rectangular container which had a base area of 36 cm
2 and a height of 38.3 cm with water. Then, she placed 5 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 30 cm.
- What was the length of each side of the metal cube?
- After Barbara removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.51 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 5 cubes
= 36 x 30
= 1080 cm
3
Volume of 1 cube
= 1080 ÷ 5
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 36 x 38.3
= 1378.8 cm
3 Number of pots that Barbara can fill
= 1378.8 ÷ 510
= 2 r 358.8
Maximum number of pots that Barbara can fill = 2
Answer(s): (a) 6 cm; (b) 2