Gabby filled a rectangular tank which had a base area of 40 cm
2 and a height of 39.7 cm with water. Then, she placed 7 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 4.725 cm.
- What was the length of each side of the metal cube?
- After Gabby removed the metal cubes from the tank, she poured all the water from the tank to fill jars of 0.39 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 7 cubes
= 40 x 4.725
= 189 cm
3
Volume of 1 cube
= 189 ÷ 7
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 40 x 39.7
= 1588 cm
3 Number of jars that Gabby can fill
= 1588 ÷ 390
= 4 r 28
Maximum number of jars that Gabby can fill = 4
Answer(s): (a) 3 cm; (b) 4