Elyse filled a rectangular tank which had a base area of 48 cm
2 and a height of 36.1 cm with water. Then, she placed 8 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 121.5 cm.
- What was the length of each side of the metal cube?
- After Elyse removed the metal cubes from the tank, she poured all the water from the tank to fill tins of 0.25 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 8 cubes
= 48 x 121.5
= 5832 cm
3
Volume of 1 cube
= 5832 ÷ 8
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 48 x 36.1
= 1732.8 cm
3 Number of tins that Elyse can fill
= 1732.8 ÷ 250
= 6 r 232.8
Maximum number of tins that Elyse can fill = 6
Answer(s): (a) 9 cm; (b) 6