A pyramid has a height of 9 in. and a base with area 100 in2. Which is closest to the volume of the pyramid? A 30 in3 B 150 in3
1 answer:
Answer:
300 square inches
Step-by-step explanation:
Given: Height of the pyramid is 9 inches and base area of the pyramid is 100 square inches
To find: volume of the pyramid
Solution:
A pyramid is a three geometrical shape that has a base and three or more triangular faces that meet at a point.
Height of the pyramid (h) = 9 inches
Base area of the pyramid (A) = 100 square inches
Volume of the pyramid =
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Proof by contadiction.
Let assume there exist such positive integers and
whose sum is a prime number
, that their greatest common divisor is greater than 1.
Since is a prime number and
, then
, but we assumed earlier that
, and there are no two positive integers that sum up to 1.
q.e.d.