Notice the exponents in these two statements.
Those little tiny numbers tell the whole big story:
(the ratio of the surface areas of similar figures) = (the ratio of their linear dimensions)2
(the ratio of the volumes of similar solids) = (the ratio of their linear dimensions)3
A cone, a cylinder and a sphere would fit the given description
A triangular prism and a pentagonal based pyramid would fit the given description.
surface area of a cylinder? No. In 2-dimensional space, a circle and in 3-d, a sphere.
It is a cylinder that fits the given description.
Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .
A cone, a cylinder and a sphere would fit the given description
A triangular prism and a pentagonal based pyramid would fit the given description.
surface area of a cylinder? No. In 2-dimensional space, a circle and in 3-d, a sphere.
A square normally consists of two dimensions, length and width. In order to determine how big a dimensional square is, we need to have exact figures given to us, so we can produce result in terms of numbers.
It is a cylinder that fits the given description.
The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. In 3 dimensional space, the set would be the surface of a sphere.
A square normally consists of two dimensions, length and width. In order to determine how big a dimensional square is, we need to have exact figures given to us, so we can produce result in terms of numbers.
Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .
A square normally consists of two dimensions, length and width. In order to determine how big a dimensional square is, we need to have exact figures given to us, so we can produce result in terms of numbers.
I'm not really sure what you had in mind. Given that the cave is in limestone (as the vast majority of them are) there has to be a dimensional limit to the dissolution and erosion processes. The floor is there by default: it is the lowest surface along a passage at that given time in the cave's development.
A 3 dimensional shape can normally be created from a 2 dimensional net shape of it.
They do not know the population of Pompeii. Any figures given out are just estimates as there were no population records for the town.They do not know the population of Pompeii. Any figures given out are just estimates as there were no population records for the town.They do not know the population of Pompeii. Any figures given out are just estimates as there were no population records for the town.They do not know the population of Pompeii. Any figures given out are just estimates as there were no population records for the town.They do not know the population of Pompeii. Any figures given out are just estimates as there were no population records for the town.They do not know the population of Pompeii. Any figures given out are just estimates as there were no population records for the town.They do not know the population of Pompeii. Any figures given out are just estimates as there were no population records for the town.They do not know the population of Pompeii. Any figures given out are just estimates as there were no population records for the town.They do not know the population of Pompeii. Any figures given out are just estimates as there were no population records for the town.