If the surface area of two cubes is equal, they must also be equal in volume, true or false

Updated on educate 2024-04-12
20 answers
  1. Anonymous users2024-02-07

    That's right!

    If the surface area is equal, the edge length is equal, and the volume is also equal.

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  2. Anonymous users2024-02-06

    Wrong, because one cube is dropped from one corner of the cube, and the rest is added again, the volume is reduced, and the surface area remains the same.

  3. Anonymous users2024-02-05

    The six sides of the cube are congruent, and the surface area is equal, that is, if the sides are equal, then the volume side length x side length x edge length x edge length are all equal.

  4. Anonymous users2024-02-04

    Because: let one square be a and the other be b

    From the meaning of the title, a 2 4 = b 2 4

    a∧2=b∧2

    Root number A 2 = Root number B 2 (negative value rounded).

    a=ba∧3=b∧3

  5. Anonymous users2024-02-03

    Yes, square, it must be right.

  6. Anonymous users2024-02-02

    Right, if it's a cuboid, it's wrong.

  7. Anonymous users2024-02-01

    The surface area of the cube = 6 edge lengths

    If the surface area of the two cubes is equal, then.

    The edges are equal in length. Their volume = edge length

    Also equal. Answer.

    That's right.

  8. Anonymous users2024-01-31

    It's 100% wrong, don't know how to ask me.

  9. Anonymous users2024-01-30

    Two cubes with equal surface area must have the same volume.

    The surface area of the cube = edge length edge length 6, the volume of the cube = edge length edge length edge length, because the surface area of two cubes is equal, then the area of each face is equal, and it can be judged that the edge length is equal, so the volume is also equal.

    The basic characteristics of the cube

    The cube is a regular polyhedron composed of 6 square faces, so it is also called a regular hexahedron and a regular cube. It has 12 edges (edges) and 8 vertices (points) and is one of the five Platonic solids.

    Dynamic definition of a cube: A three-dimensional shape obtained by translating the side length of a square perpendicular to the direction of the face on which it is located.

    The cube has 8 vertices, each connected with three edges; The cube has 12 edges, each of which is equal in length; The cube has 6 faces, each of which is equal in area.

  10. Anonymous users2024-01-29

    It is true that two cubes of equal volume must have equal surface area. Elimination hall

    The definition of a cube is that a cuboid with equal length, width, and height is a cube. A three-dimensional figure surrounded by six identical squares is called a cube. A straight parallelepiped with a square side and bottom surface is called a cube, that is, a hexahedron with equal edge length, also known as a cube or a regular hexahedron.

    Cubes are special cuboids. The volume of the cube (or the volume of the cube) = edge length * edge length * edge length; Let the edge length of a cube be a, then its volume is: v=a*a*a or equal to a.

    A three-dimensional figure surrounded by six identical squares is called a cube. The parallelepiped with both sides and bottom surfaces are square is called a cube, that is, a hexahedron with equal edge length, also known as a cube and a regular hexahedron. Cubes are special cuboids.

    There are 6 faces, 8 vertices, and 12 edges.

    A three-dimensional figure surrounded by six identical squares is called a cube jujube manuscript. A straight parallelepiped with a square side and bottom surface is called a cube, that is, a hexahedron with equal edge length, also known as a cube or a regular hexahedron. Cubes are special cuboids.

    The volume of the cube (or the volume of the cube) = edge length * edge length * edge length; Let the edge length of a cube be a, then its volume is: v=a*a*a or equal to a.

  11. Anonymous users2024-01-28

    If they are both cubes, then if the volume is equal, their surface area is also equal. But this is limited to cubes. If it is two cuboids with equal volumes, the surface area is not necessarily equal.

  12. Anonymous users2024-01-27

    According to the formula for calculating the volume of the cube: volume = cube of the side length. It follows that if the volume of the two cubes is equal, then the sides of the two cubes are equal.

    Then according to the formula for calculating the surface area of the cube: surface area = six times the square of the side length. So, if the sides of the cube are equal in length, then the surface area of the two cubes is also equal.

    As explained above, two cubes with equal volume must also have the same surface area.

  13. Anonymous users2024-01-26

    Two cubes of equal volume must have the same surface area. Because the volume of the two cubes is equal, the edge length is also equal, and the surface area of the rake is calculated.

  14. Anonymous users2024-01-25

    According to the volume formula, a cube with equal volume means that the sides are equal in length and the natural surface area is equal.

  15. Anonymous users2024-01-24

    That's right. Each face of the cube is a square, and the surface area of the cube = the area of one face multiplied by 6 = 6a (a is the edge length of the cube and the side length of one of the faces).

    So the edge length of a cube with equal surface area is equal to a, and the area of the cube = cube of edge length = a, so the volume of the two cubes is equal.

  16. Anonymous users2024-01-23

    The surface area s=6a, a is the edge length and the surface area is equal, there must be an edge length a equal, then the volume v=a will also be equal.

  17. Anonymous users2024-01-22

    Cube volume = cube of side length.

    And the surface area = the square of the side length * 6

    So if the surface area is equal, the side length must also be equal.

    So the volume must be equal. That's right.

  18. Anonymous users2024-01-21

    Because the surface area of the two positive wax cubes is equal, the area of each face is equal, and it can be judged that the edge length is equal, so the volume is also equal, so the original question is correct

    So the answer is:

  19. Anonymous users2024-01-20

    Since the surface area of the two cubes is equal, the area of each face is equal, and it can be judged that the edges are equal in length, so the volume is also equal, so the original question is correct

    So the answer is:

  20. Anonymous users2024-01-19

    From the volume formula of the cube, it can be seen that two cubes with equal volume must have the same edge length, so their surface areas are also equal;

    So the answer is:

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