find the maximum number of cubes each of edge 5cm can be placed in a cuboidal box of length 25m, breadth 19m and height 10m.
Answers
Answer:
Divide each dimension by 5 and multiply the results together.
20/5 = 4
15/5 = 3
10/5 = 2
4 x 3 x 2 = 24 cubes of edge length 5 cm.
Answer:
Step-by-step explanation:To find the maximum number of cubes with edge length 5cm that can be placed in a cuboidal box with dimensions 25m x 19m x 10m, you can use the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
First, you will need to convert the edge length of the cubes from centimeters to meters. There are 100 centimeters in 1 meter, so the edge length of the cubes in meters is 5cm / 100cm/m = 0.05m.
Next, you can use the formula to calculate the volume of the cuboidal box:
V = lwh = 25m x 19m x 10m = 4750m^3
Then, you can divide the volume of the box by the volume of one cube to find the maximum number of cubes that can be placed in the box:
maximum number of cubes = 4750m^3 / (0.05m)^3 = 4750m^3 / 0.00125m^3 = 3800000 cubes
Therefore, the maximum number of cubes with edge length 5cm that can be placed in the cuboidal box is 3800000.