Phil bought a block of cheese in the shape of a rectangular prism measuring 8 inches by 4 inches by 2 inches. He cut four pieces of cheese off the block each measuring 2 inches by 3 inches by inch . how much of the block of cheese is left . IS the answer 40in3
That's what I get
To find out how much of the block of cheese is left, you need to calculate the volume of the block originally, and then subtract the volume of the four pieces that were cut off.
The volume of a rectangular prism can be calculated by multiplying its length, width, and height. The original block measures 8 inches by 4 inches by 2 inches, so its volume is:
Volume of the block = 8 inches * 4 inches * 2 inches = 64 cubic inches
Next, you need to calculate the volume of each piece of cheese that was cut off. Each piece measures 2 inches by 3 inches by 1 inch, so the volume of each piece is:
Volume of each piece = 2 inches * 3 inches * 1 inch = 6 cubic inches
Since four pieces were cut off, the total volume of the pieces is:
Total volume of the pieces = 4 * 6 cubic inches = 24 cubic inches
To find out how much of the block of cheese is left, subtract the total volume of the pieces from the volume of the block:
Volume of block remaining = Volume of the block - Total volume of the pieces = 64 cubic inches - 24 cubic inches = 40 cubic inches
So, the correct answer is 40 cubic inches, not 40in3.