A maker of cubic number blocks packs a rectangular box so that there are 11 blocks along one edge, 8 blocks along the second edge and 2 blocks along the third edge. How many blocks will be shipped in this box. If each block has a side of 4cm, what is the volume of the box?
number of blocks per box
= 11*8*2
volume
= 11*8*2 * (4³) cm³.
To find the number of blocks that will be shipped in the box, we need to multiply the number of blocks along each edge.
The box has 11 blocks along one edge, 8 blocks along the second edge, and 2 blocks along the third edge. So, to find the total number of blocks, we multiply these three numbers together:
11 * 8 * 2 = 176 blocks
Therefore, 176 blocks will be shipped in this box.
To find the volume of the box, we need to calculate the product of the length, width, and height of the box. Since each block has a side length of 4cm, we can convert the number of blocks to centimeters and use that as the dimensions.
The length of the box will be 11 blocks * 4 cm/block = 44 cm
The width of the box will be 8 blocks * 4 cm/block = 32 cm
The height of the box will be 2 blocks * 4 cm/block = 8 cm
Now, we can find the volume by multiplying these dimensions together:
Volume = length * width * height = 44 cm * 32 cm * 8 cm = 11,264 cm³
Therefore, the volume of the box is 11,264 cm³.