Opal filled a rectangular container which had a base area of 40 cm
2 and a height of 35.5 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 1.8 cm.
- What was the length of each side of the metal cube?
- After Opal removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.39 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 9 cubes
= 40 x 1.8
= 72 cm
3
Volume of 1 cube
= 72 ÷ 9
= 8 cm
3
Length of the cube
= ³√8
= 2 cm
(b)
Volume of water
= 40 x 35.5
= 1420 cm
3 Number of pots that Opal can fill
= 1420 ÷ 390
= 3 r 250
Maximum number of pots that Opal can fill = 3
Answer(s): (a) 2 cm; (b) 3