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If the height of a cuboid is increased by 2cm, it becomes a cube. At this time, the surface area is increased by 72cm_ &The volume of the original cuboid is______ cm_ ．
72 / 2 = 36 (CM), 36 / 4 = 9 (CM), 9-2 = 7 (CM), 9 × 9 × 7 = 567 (cm3); answer: the volume of this cuboid is 567 cm3. So the answer is: 567 cm3
If the height of a cuboid is shortened by 3cm, it will become a cube. At this time, the volume of the cuboid will be reduced by 75cm3
The area of the bottom of the cube is 75 △ 3 = 25 square centimeters
25=5x5
So the side length of the cube is 5cm
Original volume
5x5x5+75
=125+75
=200 cc
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A cuboid block of 64 cubic centimeter is divided into eight small cubes of the same size, and the sum of the surface areas of the eight cubes is calculated
Volume of each cube = 64 △ 8 = 8 cubic centimeter
8 = 2 × 2 × 2, the edge length of each small cube is 2 cm
The surface area of each small cube is 2 × 2 × 6 = 24 square centimeters
The sum of the surface area of 8 small cubes = 8 × 24 = 192 square centimeters
Supplement:
Using the knowledge of cube root, let the edge length of each small cube be x cm, then the volume of each small cube is X & # 179;, and the volume of eight small cubes is 8x & # 179;; according to the meaning of the title, the equation can be listed as follows:
8x³=64
x³=8
x=³√8
x=2
The sum of the surface area of 8 cubes = 2 × 2 × 6 × 8 = 192 square centimeters
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