Nicole filled a rectangular container which had a base area of 75 cm
2 and a height of 32.4 cm with water. Then, she placed 12 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 10.24 cm.
- What was the length of each side of the metal cube?
- After Nicole removed the metal cubes from the container, she poured all the water from the container to fill tins of 0.23 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 12 cubes
= 75 x 10.24
= 768 cm
3
Volume of 1 cube
= 768 ÷ 12
= 64 cm
3
Length of the cube
= ³√64
= 4 cm
(b)
Volume of water
= 75 x 32.4
= 2430 cm
3 Number of tins that Nicole can fill
= 2430 ÷ 230
= 10 r 130
Maximum number of tins that Nicole can fill = 10
Answer(s): (a) 4 cm; (b) 10