Natalie filled a rectangular tank which had a base area of 50 cm
2 and a height of 39.1 cm with water. Then, she placed 10 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 5.4 cm.
- What was the length of each side of the metal cube?
- After Natalie removed the metal cubes from the tank, she poured all the water from the tank to fill jars of 0.69 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 10 cubes
= 50 x 5.4
= 270 cm
3
Volume of 1 cube
= 270 ÷ 10
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 50 x 39.1
= 1955 cm
3 Number of jars that Natalie can fill
= 1955 ÷ 690
= 2 r 575
Maximum number of jars that Natalie can fill = 2
Answer(s): (a) 3 cm; (b) 2