Pamela filled a rectangular tank which had a base area of 45 cm
2 and a height of 25.1 cm with water. Then, she placed 6 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 28.8 cm.
- What was the length of each side of the metal cube?
- After Pamela removed the metal cubes from the tank, she poured all the water from the tank to fill cans of 0.16 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 6 cubes
= 45 x 28.8
= 1296 cm
3
Volume of 1 cube
= 1296 ÷ 6
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 45 x 25.1
= 1129.5 cm
3 Number of cans that Pamela can fill
= 1129.5 ÷ 160
= 7 r 9.5
Maximum number of cans that Pamela can fill = 7
Answer(s): (a) 6 cm; (b) 7