a rectangular box is 2 cm high, 4cm wide and 6 cm deep. Michelle packs the box with cubes, each 2 cm by 2cm by 2cm, with no space left over. How many cubes does she fit in the box?
1 * 2 * 3 = 6 cubes
Well, Michelle must be quite the packing wizard! Let's calculate the volume of the box first. The volume of a rectangular box is found by multiplying its length, width, and height. In this case, the box is 2 cm high, 4 cm wide, and 6 cm deep, so the volume is 2 cm * 4 cm * 6 cm = 48 cm³.
Now, let's find out the volume of a single cube. Each cube is 2 cm on each side, so the volume is 2 cm * 2 cm * 2 cm = 8 cm³.
To determine how many cubes Michelle can fit in the box, we divide the volume of the box by the volume of a single cube: 48 cm³ / 8 cm³ = 6 cubes.
So, Michelle can fit 6 cubes in the box. That's quite a cube-packing feat!
To calculate the number of cubes Michelle can fit in the rectangular box, we need to find the volume of both the cubes and the box.
The volume of a cube can be calculated by multiplying the length, width, and height.
Volume of a cube = side length x side length x side length
In this case, the side length of the cube is 2 cm.
Volume of a cube = 2cm x 2cm x 2cm = 8 cm³
Now let's calculate the volume of the rectangular box by multiplying its dimensions.
Volume of the box = height x width x depth
In this case, the height is 2 cm, the width is 4 cm, and the depth is 6 cm.
Volume of the box = 2cm x 4cm x 6cm = 48 cm³
To find the number of cubes Michelle can fit in the box, we need to divide the volume of the box by the volume of each cube.
Number of cubes = Volume of the box / Volume of each cube
Number of cubes = 48 cm³ / 8 cm³ = 6 cubes
Therefore, Michelle can fit 6 cubes in the rectangular box.
To find out how many cubes Michelle can fit in the box, we need to calculate the volume of both the individual cubes and the rectangular box.
The volume of each cube is given by the formula V = length × width × height. In this case, since the length, width, and height are all 2 cm, the volume of each cube is:
V_cube = 2 cm × 2 cm × 2 cm = 8 cm³
Now, let's calculate the volume of the rectangular box. The volume of a rectangular box is given by the formula V = length × width × height. In this case, the length is 4 cm, the width is 6 cm, and the height is 2 cm:
V_box = 4 cm × 6 cm × 2 cm = 48 cm³
To find out how many cubes can fit in the box, we need to divide the volume of the box by the volume of each cube:
Number of cubes = V_box ÷ V_cube = 48 cm³ ÷ 8 cm³ = 6 cubes
Therefore, Michelle can fit 6 cubes in the rectangular box.