The ratio of the volumes of two similar solid polyhedra is equal to the square of the ratio between their edges. True or False?
2 answers:
Answer:
The given statement is false.
Step-by-step explanation:
The ratio of the volumes of two similar solid polyhedra is equal to the square of the ratio between their edges.
This statement is false.
A polyhedron is a shape that has no gaps between their edges or vertices. Like - a cube, prism, or pyramid.
Take in consideration, the cube.
Volume of cubes is given by = =
A similar cube will be the one with same dimensions. So, in no way, their volume can be equal to the square of the ratio between their edges.
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Hey. Let me help you on this one.
Let's break this problem down so it's easier for us to comprehend it.
There are 850 students in the school, and the amount of female students equals to the amount of male students + sixty additional females.
Amount of students in school = 850 students
Male students =
Female students =
Let's form an equation so we can work with what we have.
Subtract 60 from both sides.
Simplify
Divide both sides by 2.
Answer: There are 395 male students, and 455 female students.
Let's break this problem down so it's easier for us to comprehend it.
There are 850 students in the school, and the amount of female students equals to the amount of male students + sixty additional females.
Amount of students in school = 850 students
Male students =
Female students =
Let's form an equation so we can work with what we have.
Subtract 60 from both sides.
Simplify
Divide both sides by 2.
Answer: There are 395 male students, and 455 female students.
A nickel is equal to 5 cents or 0.05 dollars.
A quarter is equal to 25 cents or 0.25 dollars.
Let number of nickels be = n
Let number of quarters be = q
...........(1)
As it is given, there are 3 more nickels than quarters so equation becomes,
................(2)
Plug in the value of 'n' from (2) in (1)
=
As we get,
Hence, there are 12 nickels and 9 quarters.