The cuboid wood is 8 cm long, 6 cm wide and 6 cm high. It is sawed into the largest cube wood. What is the volume of cube wood?

The cuboid wood is 8 cm long, 6 cm wide and 6 cm high. It is sawed into the largest cube wood. What is the volume of cube wood?

6 cm3

How many cubic centimetres is the volume of the largest cube cut from a rectangular wood block which is 9cm long, 8cm wide and 7cm high

Because the height of the rectangle is 7 cm, the side length of the cube is 7 cm, so the volume of the cube is 343 cubic cm, and the volume of the cuboid is 504 cubic cm, so the cut volume is 504 cubic cm minus 343 cubic cm, which is 161 cubic cm!

After cutting a small cuboid with a volume of 32 cubic centimeters from a cuboid, the remaining part is just a cuboid with an edge length of 4 cm, which is the same as the original cuboid
Is the surface area of () square centimeter?

The remaining cuboid is four centimeters long. The width of the original cuboid = height = 4cm = the width or height of a small cuboid with a volume of 32 cubic centimeters,
The length of a small cuboid with a volume of 32 cubic centimeters:
=32 △ (w × h)
=32÷(4×4)
=2
The length of the original cuboid is 2 + 4 = 6cm
The surface area of the original cuboid is:
=6×4×2+6×4×2+4×4×2
=128 (square centimeter)