1. What is the correct statement: 1) The unit of volume is a cube with an edge equal to one unit of length. 2) Bodies with equal volumes are equal. 3) Equal bodies have equal volumes.
2. What is the incorrect statement: 1) The ratio of volumes of similar bodies is equal to the cube of the similarity coefficient. 2) The ratio of volumes of similar bodies is equal to the similarity coefficient. 3) Volumes of similar bodies are equal.
3. The volume of a rectangular parallelepiped is: 1) the product of its three dimensions. 2) the product of the perimeter and the height. 3) the product of the base area and the height.
4. The product of the base area and the height is: 1) the volume of an inclined prism.
2. What is the incorrect statement: 1) The ratio of volumes of similar bodies is equal to the cube of the similarity coefficient. 2) The ratio of volumes of similar bodies is equal to the similarity coefficient. 3) Volumes of similar bodies are equal.
3. The volume of a rectangular parallelepiped is: 1) the product of its three dimensions. 2) the product of the perimeter and the height. 3) the product of the base area and the height.
4. The product of the base area and the height is: 1) the volume of an inclined prism.
Вельвет
1. The correct statement is 3) Equal bodies have equal volumes.
Explanation: For two bodies to be equal in volume, it means they occupy the same amount of space.
2. The incorrect statement is 2) The ratio of volumes of similar bodies is equal to the similarity coefficient.
Explanation: The correct statement is 1) The ratio of volumes of similar bodies is equal to the cube of the similarity coefficient. When two bodies are similar (in terms of shape), the ratio of their volumes is equal to the cube of the ratio of their corresponding side lengths.
3. The volume of a rectangular parallelepiped is 1) the product of its three dimensions.
Explanation: The volume of a rectangular parallelepiped can be calculated by multiplying the lengths of its three dimensions (length, width, and height) together.
Please let me know if you have any further questions or need additional explanations!
Explanation: For two bodies to be equal in volume, it means they occupy the same amount of space.
2. The incorrect statement is 2) The ratio of volumes of similar bodies is equal to the similarity coefficient.
Explanation: The correct statement is 1) The ratio of volumes of similar bodies is equal to the cube of the similarity coefficient. When two bodies are similar (in terms of shape), the ratio of their volumes is equal to the cube of the ratio of their corresponding side lengths.
3. The volume of a rectangular parallelepiped is 1) the product of its three dimensions.
Explanation: The volume of a rectangular parallelepiped can be calculated by multiplying the lengths of its three dimensions (length, width, and height) together.
Please let me know if you have any further questions or need additional explanations!
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