Usha filled a rectangular container which had a base area of 50 cm
2 and a height of 23.3 cm with water. Then, she placed 11 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 220 cm.
- What was the length of each side of the metal cube?
- After Usha removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.72 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 11 cubes
= 50 x 220
= 11000 cm
3
Volume of 1 cube
= 11000 ÷ 11
= 1000 cm
3
Length of the cube
= ³√1000
= 10 cm
(b)
Volume of water
= 50 x 23.3
= 1165 cm
3 Number of bottles that Usha can fill
= 1165 ÷ 720
= 1 r 445
Maximum number of bottles that Usha can fill = 1
Answer(s): (a) 10 cm; (b) 1