How many square centimetres has the surface area of three small cubes reduced compared with the total surface area of the original three cubes?

How many square centimetres has the surface area of three small cubes reduced compared with the total surface area of the original three cubes?


Reduce 4 faces, so
The surface area is reduced by 1 × 1 × 4 = 4 (square centimeter)



The edge length of a cube is a meter. How many square meters is its surface area?


6A²



Eight cubes with the edge length of 1cm are put together to form a large cube, and the surface area of the assembled cube is () square centimeter less than that of the original four cubes?


Eight cubes with the edge length of 1cm are put together to form a large cube, and the surface area of the assembled cube is (24) square centimeters less than that of the original four cubes?
The area of each surface is 1 × 1 = 1 square centimeter;
8 × 3 = 24 faces are reduced by one of 8 faces;
Therefore, 24 square centimeters are reduced;
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The edge length of a cube is a meter. How many square meters is the surface area of the cube


Hello
The surface area of cube is edge length × edge length × 6
In this problem, edge length = a meter
therefore
Surface area = a × a × 6 = 6A & # 178; (M2)



A large cube is made up of 27 cubes whose edges are 1 cm long. How many centimeters less is the surface area of the large cube than the sum of all the original small cubes


1x1x6x27-3x3x6 = (27-9) X6 = 108 cm2



Cut a cube with 9 cm edge length into 27 pieces. How much does the surface area of the small cube increase


Increased 972cm2
First, the side length of each small cube can be calculated according to the volume, then the surface area of all small cubes can be calculated, and then the original surface area can be subtracted



The picture on the right is made up of several small cubes whose edges are 1 cm long. What are their surface area and volume,


First, we determine the number of cubes,
From top to bottom, there are five floors
The first layer is: 1
The second layer is: 1 + 2 = 3
The third layer is: 1 + 2 + 3 = 6
The fourth layer is: 1 + 2 + 3 + 4 = 10
The fifth layer is: 1 + 2 + 3 + 4 + 5 = 15
The volume of each cube is 1 × 1 × 1 = 1 cm;
The total volume is: (5 + 4 + 3 + 2 + 1) + (4 + 3 + 2 + 1) + (3 + 2 + 1) + (2 + 1) + 1
=15+10+6+3+1
= 35cm and 179;
Then calculate the surface area. If the side length of the cube is 1 cm, the area of each surface is 1 cm;
The bottom area of the first floor is 15, the top area is 5, and the side area is 2 × 5 + 2 × 5 = 20
That is, the surface area of the first layer is 15 + 5 + 20 = 40 cm;;
The bottom area of the second floor is 0, the top area is 4, and the side area is 2 × 4 + 2 × 4 = 16
That is, the surface area of the second layer is 4 + 16 = 20cm;;
The bottom area of the third layer is 0, the top area is 3, and the side area is 2 × 3 + 2 × 3 = 12
That is, the surface area of the third layer is 3 + 12 = 15cm;;
The bottom area of the fourth floor is 0, the top area is 2, and the side area is 2 × 2 + 2 × 2 = 8
That is, the surface area of the fourth layer is 2 + 8 = 10 cm;;
The bottom area of the fifth floor is 0, the top area is 1, and the side area is 2 × 1 + 2 × 1 = 4
That is, the surface area of the fourth layer is 1 + 4 = 5cm;;
The surface area of the figure is 20 + 16 + 12 + 8 + 4 = 60cm;
That is to say, the surface area of the figure is 60cm and the volume is 35cm and 179



How many centimeters of surface area has been reduced by putting together a cube with eight edges 1 cm long


1x6x8-(1+1)x6
=48-12
=36 cm



Stack 27 small cubes with edge length of 1cm into a large cube. How many square centimeters less is the surface area of this large cube than the sum of all the original small cubes?


The original 27 1 cm cube iron blocks are stacked into a large cube, and the volume sum is 27 cubic centimeters. Because 33 = 27, the edge length of the stacked large cube is 3cm, then: 1 × 1 × 6 × 27-3 × 3 × 6, = 162-54, = 108 (cubic centimeters). A: the surface product of the large cube is 108 square centimeters less than the sum of the original small cubes



The surface area of a cuboid can be reduced at most after four cuboids with 1 cm long edges are put together______ Square centimeter


① When the cuboids with the width and height of 4cm, 1cm and 1cm are put together, the number of faces reduced is 6, 1 × 1 × 6 = 6 (square centimeter). ② when the cuboids with the width and height of 2cm, 2cm and 1cm are put together, the number of faces reduced is 8, 1 × 1 × 8 = 8 (square centimeter). Because 8 > 6, the surface area can be reduced by 8 square centimeter at most