Kathy filled a rectangular tank which had a base area of 20 cm
2 and a height of 33.4 cm with water. Then, she placed 5 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 54 cm.
- What was the length of each side of the metal cube?
- After Kathy removed the metal cubes from the tank, she poured all the water from the tank to fill tins of 0.27 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 5 cubes
= 20 x 54
= 1080 cm
3
Volume of 1 cube
= 1080 ÷ 5
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 20 x 33.4
= 668 cm
3 Number of tins that Kathy can fill
= 668 ÷ 270
= 2 r 128
Maximum number of tins that Kathy can fill = 2
Answer(s): (a) 6 cm; (b) 2