Mary filled a rectangular container which had a base area of 70 cm
2 and a height of 31.7 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 29.4 cm.
- What was the length of each side of the metal cube?
- After Mary removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.22 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 6 cubes
= 70 x 29.4
= 2058 cm
3
Volume of 1 cube
= 2058 ÷ 6
= 343 cm
3
Length of the cube
= ³√343
= 7 cm
(b)
Volume of water
= 70 x 31.7
= 2219 cm
3 Number of pots that Mary can fill
= 2219 ÷ 220
= 10 r 19
Maximum number of pots that Mary can fill = 10
Answer(s): (a) 7 cm; (b) 10