What is the maximum number of cubes with a side length of 2 inches that can fit in a box that has a length of 6, a width of 2, and a height of 4?
6 cubes?
6*2 = 12
What is the maximum number of cubes with a side of 3 inches that can fit in a box the length is 21,height is 6, and the width is 3
To determine the maximum number of cubes with a side length of 2 inches that can fit in the given box, we need to calculate the volume of the box and compare it to the volume of each cube.
The volume of the box is calculated by multiplying its length, width, and height:
Volume of the box = length × width × height
Volume of the box = 6 inches × 2 inches × 4 inches
Volume of the box = 48 cubic inches
The volume of each cube is calculated by multiplying its side length by itself three times:
Volume of each cube = side length × side length × side length
Volume of each cube = 2 inches × 2 inches × 2 inches
Volume of each cube = 8 cubic inches
To find the maximum number of cubes that can fit in the box, we divide the volume of the box by the volume of each cube:
Maximum number of cubes = Volume of the box / Volume of each cube
Maximum number of cubes = 48 cubic inches / 8 cubic inches
Maximum number of cubes = 6 cubes
Therefore, the maximum number of cubes with a side length of 2 inches that can fit in the given box is 6 cubes.
To find the maximum number of cubes with a side length of 2 inches that can fit in the given box, we need to calculate the volume of the box and the volume of each cube.
First, calculate the volume of the box:
Volume of the box = length * width * height
Volume of the box = 6 inches * 2 inches * 4 inches
Volume of the box = 48 cubic inches
Next, calculate the volume of each cube:
Volume of each cube = side length^3
Volume of each cube = 2 inches * 2 inches * 2 inches
Volume of each cube = 8 cubic inches
Now, divide the volume of the box by the volume of each cube to find the maximum number of cubes that can fit in the box:
Maximum number of cubes = Volume of the box / Volume of each cube
Maximum number of cubes = 48 cubic inches / 8 cubic inches
Maximum number of cubes = 6 cubes
So, the maximum number of cubes with a side length of 2 inches that can fit in the given box is indeed 6 cubes.