Yen filled a rectangular tank which had a base area of 75 cm
2 and a height of 23.6 cm with water. Then, she placed 7 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 2.52 cm.
- What was the length of each side of the metal cube?
- After Yen removed the metal cubes from the tank, she poured all the water from the tank to fill tins of 0.64 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 7 cubes
= 75 x 2.52
= 189 cm
3
Volume of 1 cube
= 189 ÷ 7
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 75 x 23.6
= 1770 cm
3 Number of tins that Yen can fill
= 1770 ÷ 640
= 2 r 490
Maximum number of tins that Yen can fill = 2
Answer(s): (a) 3 cm; (b) 2