Sabrina filled a rectangular container which had a base area of 112 cm
2 and a height of 26.1 cm with water. Then, she placed 7 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 4 cm.
- What was the length of each side of the metal cube?
- After Sabrina removed the metal cubes from the container, she poured all the water from the container to fill cans of 0.49 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 7 cubes
= 112 x 4
= 448 cm
3
Volume of 1 cube
= 448 ÷ 7
= 64 cm
3
Length of the cube
= ³√64
= 4 cm
(b)
Volume of water
= 112 x 26.1
= 2923.2 cm
3 Number of cans that Sabrina can fill
= 2923.2 ÷ 490
= 5 r 473.2
Maximum number of cans that Sabrina can fill = 5
Answer(s): (a) 4 cm; (b) 5