Gillian filled a rectangular container which had a base area of 75 cm
2 and a height of 37.3 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 4.32 cm.
- What was the length of each side of the metal cube?
- After Gillian removed the metal cubes from the container, she poured all the water from the container to fill tins of 0.55 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 12 cubes
= 75 x 4.32
= 324 cm
3
Volume of 1 cube
= 324 ÷ 12
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 75 x 37.3
= 2797.5 cm
3 Number of tins that Gillian can fill
= 2797.5 ÷ 550
= 5 r 47.5
Maximum number of tins that Gillian can fill = 5
Answer(s): (a) 3 cm; (b) 5