Dana filled a rectangular tank which had a base area of 64 cm
2 and a height of 36.9 cm with water. Then, she placed 8 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 64 cm.
- What was the length of each side of the metal cube?
- After Dana removed the metal cubes from the tank, she poured all the water from the tank to fill tins of 0.38 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 8 cubes
= 64 x 64
= 4096 cm
3
Volume of 1 cube
= 4096 ÷ 8
= 512 cm
3
Length of the cube
= ³√512
= 8 cm
(b)
Volume of water
= 64 x 36.9
= 2361.6 cm
3 Number of tins that Dana can fill
= 2361.6 ÷ 380
= 6 r 81.6
Maximum number of tins that Dana can fill = 6
Answer(s): (a) 8 cm; (b) 6