Betty filled a rectangular container which had a base area of 75 cm
2 and a height of 29.4 cm with water. Then, she placed 4 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 38.88 cm.
- What was the length of each side of the metal cube?
- After Betty removed the metal cubes from the container, she poured all the water from the container to fill tins of 0.58 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 4 cubes
= 75 x 38.88
= 2916 cm
3
Volume of 1 cube
= 2916 ÷ 4
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 75 x 29.4
= 2205 cm
3 Number of tins that Betty can fill
= 2205 ÷ 580
= 3 r 465
Maximum number of tins that Betty can fill = 3
Answer(s): (a) 9 cm; (b) 3