The vessel contained 5 cubic meters. see water. mark the water level in this vessel after a metal

The vessel contained 5 cubic meters. see water. mark the water level in this vessel after a metal cube with an edge is immersed in it: a) 1 cm. b) 2 cm.Determine the largest number of cubes with an edge of 1 cm that can fit in a box whose length is 8 cm, width is 3 cm, height 5 cm.

1. The water level in the vessel after the immersion of the cube is equal to the sum of the volumes of water in the vessel and the immersed cube.
The volume of a cube (V) is equal to the cube of its edge.
a) for a cube with an edge of 1 cm:
V = 1³ = 1 cm³.
The water level in the vessel: 5 + 1 = 6 cm³.
b) for a cube with an edge of 2 cm:
V = 2³ = 8 cm³.
The water level in the vessel: 5 + 8 = 13 cm³.
2. The volume of the box is the volume of a parallelogram with sides of 8, 3 and 5 cm.
V = 8 * 3 * 5 = 120 cm³.
Volume of a cube with an edge of 1 cm:
Vк = 1³ = 1 cm³.
The number of cubes in a box is equal to the ratio of the volume of the box to the volume of the cube:
N = 120/1 = 120 cubes.