Tina filled a rectangular container which had a base area of 70 cm
2 and a height of 27.8 cm with water. Then, she placed 3 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 14.7 cm.
- What was the length of each side of the metal cube?
- After Tina removed the metal cubes from the container, she poured all the water from the container to fill tins of 0.44 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 3 cubes
= 70 x 14.7
= 1029 cm
3
Volume of 1 cube
= 1029 ÷ 3
= 343 cm
3
Length of the cube
= ³√343
= 7 cm
(b)
Volume of water
= 70 x 27.8
= 1946 cm
3 Number of tins that Tina can fill
= 1946 ÷ 440
= 4 r 186
Maximum number of tins that Tina can fill = 4
Answer(s): (a) 7 cm; (b) 4