Answer:
You would need 4912 cubes with a side length of 0.25 inches to fill the gift box.
Explanation:
To calculate the number of cubes with a side length of 0.25 inches needed to fill a gift box with edges of 4.25 inches, we can use the volume formula for a cube and the volume of the gift box.
The volume of a cube is given by the formula:
Volume = side length^3
The volume of the gift box is given by the formula:
Volume = length * width * height
Given:
Side length of the cube = 0.25 inches
Edge length of the gift box = 4.25 inches
First, let's calculate the volume of the gift box:
Volume of the gift box = 4.25 inches * 4.25 inches * 4.25 inches
= 76.765625 cubic inches
Now, let's calculate the volume of one cube:
Volume of one cube = (0.25 inches)^3
= 0.015625 cubic inches
To find the number of cubes needed to fill the gift box, divide the volume of the gift box by the volume of one cube:
Number of cubes needed = Volume of the gift box / Volume of one cube
Number of cubes needed = 76.765625 cubic inches / 0.015625 cubic inches
Number of cubes needed = 4912
Therefore,
4912 cubes with a side length of 0.25 inches needed to fill the gift box.