Gwen filled a rectangular container which had a base area of 36 cm
2 and a height of 27.4 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 31.25 cm.
- What was the length of each side of the metal cube?
- After Gwen removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.81 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 9 cubes
= 36 x 31.25
= 1125 cm
3
Volume of 1 cube
= 1125 ÷ 9
= 125 cm
3
Length of the cube
= ³√125
= 5 cm
(b)
Volume of water
= 36 x 27.4
= 986.4 cm
3 Number of bottles that Gwen can fill
= 986.4 ÷ 810
= 1 r 176.4
Maximum number of bottles that Gwen can fill = 1
Answer(s): (a) 5 cm; (b) 1