Emma filled a rectangular tank which had a base area of 56 cm
2 and a height of 24.7 cm with water. Then, she placed 4 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 24.5 cm.
- What was the length of each side of the metal cube?
- After Emma removed the metal cubes from the tank, she poured all the water from the tank to fill bottles of 0.41 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 4 cubes
= 56 x 24.5
= 1372 cm
3
Volume of 1 cube
= 1372 ÷ 4
= 343 cm
3
Length of the cube
= ³√343
= 7 cm
(b)
Volume of water
= 56 x 24.7
= 1383.2 cm
3 Number of bottles that Emma can fill
= 1383.2 ÷ 410
= 3 r 153.2
Maximum number of bottles that Emma can fill = 3
Answer(s): (a) 7 cm; (b) 3