What is the maximum number of cubes measuring 5cm on an edge that can be obtained by cutting a solid cube that measures 1 m on an edge?
8000, because 1m=100cm. You take the 100m/5cm=20 cubes. V=LxWxH. 20x20=400x20=8000
To determine the maximum number of smaller cubes that can be obtained by cutting a solid cube, we need to consider how many smaller cubes can fit along each edge of the larger cube.
First, we need to convert the measurements into the same units. Since the large cube measures 1 m on each edge, we should convert the smaller cube measurements to meters as well.
Given that the smaller cubes measure 5 cm on each edge, we can convert this to meters by dividing by 100 cm/m. So, each smaller cube has an edge length of 0.05 m (5/100).
To find out how many smaller cubes can fit along one edge of the larger cube, we divide the length of the larger cube's edge by the length of the smaller cube's edge.
1 m / 0.05 m = 20
Therefore, 20 smaller cubes can fit along one edge of the larger cube.
Since a cube has six equal edges, we can multiply the number of cubes along one edge by 6 to find the total number of smaller cubes that can be obtained by cutting the solid cube.
20 cubes/edge * 6 edges = 120 smaller cubes in total
Therefore, the maximum number of smaller cubes measuring 5 cm on an edge that can be obtained by cutting a solid cube measuring 1 m on an edge is 120.