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The length, width and height of a cuboid are 5cm, 4cm and 3cm respectively. If we saw it into the largest cube, its volume would be larger than that of the original cuboid
The side length of the largest cube can only be three, so 3 × 3 × 3 = 27, 5 × 4 × 3 = 60-27 = 33
So the volume is 33 square centimeters smaller than the original one. It should be like this. Think about it yourself!
Cut a cuboid 8 cm in length, 5 cm in width and 3 cm in height into a cube with the largest volume. The volume of this cube is about______ ．
V = A3 = 33 = 3 × 3 × 3 = 27 (cubic centimeter) a: the volume of this cube is 27 cubic centimeter, so the answer is: 27 cubic centimeter
Cut a rectangular wood block 8 cm long, 7 cm wide and 4 cm high into the largest cube. What is the volume of the cube?
What's the volume of the rest?
4×4×4
=16×4
=64 (CC)
8×7×4
=56×4
=224 (CC)
224-64 = 160 (CC)
A: the volume of the cube is 64 cubic centimeters, and the volume of the rest is 160 cubic centimeters
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