a rectangular block 16 cm long has two spare faces. A cube of volume 343 cubic centimetre is cut from the rectangular block. Find the volume of the remaining block. Help me pls^

To find the volume of the remaining block after a cube is cut out, we first need to determine the dimensions of the cube.

Let's assume the width and height of the rectangular block are 'w' and 'h' respectively. Since the block has two spare faces, it means that one side of the block is shared by both the block and the cube.

The volume of the cube is given as 343 cubic centimeters. We know that the volume of a cube is given by V = s^3, where 's' is the length of the side of the cube.

So, to find the dimensions of the cube, we need to find the value of 's'. Taking the cube root of 343 gives us s = ∛343 = 7 cm.

Now that we know the length of one side of the cube, we can subtract this value from the length of the rectangular block to find the remaining length.

Remaining length = Length of block - Length of cube
Remaining length = 16 cm - 7 cm
Remaining length = 9 cm

Since the width and height remain the same, the remaining block will have dimensions of 9 cm x w cm x h cm.

To find the volume of the remaining block, we multiply these dimensions.

Volume of the remaining block = 9 cm x w cm x h cm

Therefore, the volume of the remaining block is 9wh cubic centimeters.

do you mean square faces?

If you want a final number, you need to provide more information on the other dimensions of the solid. It could be 16×s×s or 16×w×16