Tammy filled a rectangular tank which had a base area of 32 cm
2 and a height of 25.2 cm with water. Then, she placed 11 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 2.75 cm.
- What was the length of each side of the metal cube?
- After Tammy removed the metal cubes from the tank, she poured all the water from the tank to fill jars of 0.74 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 11 cubes
= 32 x 2.75
= 88 cm
3
Volume of 1 cube
= 88 ÷ 11
= 8 cm
3
Length of the cube
= ³√8
= 2 cm
(b)
Volume of water
= 32 x 25.2
= 806.4 cm
3 Number of jars that Tammy can fill
= 806.4 ÷ 740
= 1 r 66.4
Maximum number of jars that Tammy can fill = 1
Answer(s): (a) 2 cm; (b) 1