Zoe filled a rectangular container which had a base area of 24 cm
2 and a height of 23.1 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 1 cm.
- What was the length of each side of the metal cube?
- After Zoe removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.15 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 3 cubes
= 24 x 1
= 24 cm
3
Volume of 1 cube
= 24 ÷ 3
= 8 cm
3
Length of the cube
= ³√8
= 2 cm
(b)
Volume of water
= 24 x 23.1
= 554.4 cm
3 Number of pots that Zoe can fill
= 554.4 ÷ 150
= 3 r 104.4
Maximum number of pots that Zoe can fill = 3
Answer(s): (a) 2 cm; (b) 3