Vanessa filled a rectangular container which had a base area of 50 cm
2 and a height of 28.6 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 11.52 cm.
- What was the length of each side of the metal cube?
- After Vanessa removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.32 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 9 cubes
= 50 x 11.52
= 576 cm
3
Volume of 1 cube
= 576 ÷ 9
= 64 cm
3
Length of the cube
= ³√64
= 4 cm
(b)
Volume of water
= 50 x 28.6
= 1430 cm
3 Number of pots that Vanessa can fill
= 1430 ÷ 320
= 4 r 150
Maximum number of pots that Vanessa can fill = 4
Answer(s): (a) 4 cm; (b) 4