To cut a cuboid into the largest cube, how long is its edge? It is 12 cm long, 6 cm wide and 8 cm high

To cut a cuboid into the largest cube, how long is its edge? It is 12 cm long, 6 cm wide and 8 cm high


If the edge length is greater than the minimum edge length of a cuboid by 6cm, it will not cut into the largest cube,
So the cuboid wood is cut into the largest cube, with the edge length of 6cm



A square with an edge length of 16 cm is cut into a small cube with an edge length of 8 cm. After cutting, how much more is the surface area than before?


The original area is 6 * 16 * 16 = 1536, which can be cut into 8 cubes with the length of 8 cm, and the area is 8 * 6 * 8 * 8 = 3072
3072-1536=1536
1536/1356=1
So it's increased by 100%



A cube with an edge length of 8 cm is cut into three identical cuboids with the surface area of each rectangle
Write out the process of solving the problem and the formula


1. Surface area of cube = 8 × 8 × 6 = 384 (square centimeter)
2. Cut into three pieces to increase the surface area = 4 × 8 × 8 = 256 (square centimeter)
3. Sum of surface area = 384 + 256 = 640 (cm2)
4. The surface area of a cuboid = 640 △ 3 = 640 / 3 (square centimeter)



How many cubes can you divide a cube block with an edge length of 8 cm into a small cube block with an edge length of 2 cm?


8x8 ^ (2x2x2) = 64 blocks



A cuboid 14 cm long, 9 cm wide and 8 cm high can be divided into two parts______ A cube of 2 cm in length


Taking the length as the edge, you can cut out 14 △ 2 = 7 (pieces), taking the width as the edge, you can cut out 9 △ 2 ≈ 4 (pieces), taking the height as the edge, you can cut out 8 △ 2 = 4 (pieces), 7 × 4 × 4 = 112 (pieces). A: it can be divided into 112 cubes with the edge length of 2 cm



Use two cube blocks of the same size to make a cuboid. The total length of the cuboid is 96cm, and each cuboid is square


Let the edge length of a cube be X. just draw a cuboid and cut it. 16x = 96. The edge length of each cube is 6. You can do anything else



How many square blocks with 2 cm long edges can be used to make a square with 30 cm long, 20 cm wide and 10 cm high
ji!


Calculate volume
30 × 20 × 10 / (2 × 2 × 2) = 750



Yang Yang put some square building blocks with 5 cm edge length into a cuboid box with a length of 3 decimeters, a width of 2 decimeters and a width of 5 decimeters, and there is no gap, which is very important
How many of these building blocks are there?


Cuboid box volume = 30 * 20 * 15 = 9000 cubic centimeter
Can install cube block = 9000 / (5 * 5 * 5) = 72 pieces



A cuboid box of 6dm in length, 4dm in width and 5DM in height can hold () cube wood blocks of 2DM in length at most
A. 12B. 13C. 14D. 15


6 / 2 = 3 (block), 4 / 2 = 2 (block), 5 / 2 = 2 (block) 1 decimeter, so the maximum can hold: 3 × 2 × 2 = 12 pieces. A: the maximum can hold 12 pieces



Stack 10 cube building blocks with the side length of 1cm to form a three-dimensional figure. How to stack the minimum surface area of the three-dimensional figure?


If ten blocks are only arranged in a row, and the length, width and height are (10, 1, 1), then the surface area is 42
If five pieces are arranged in two rows, and the length, width and height are (5, 2, 1), then the surface area is 34