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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Answer:
Step-by-step explanation:
To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.
<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.
If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:
a is the height, b is the base, and c is
the hypotenuse.
To obtain the value of the hypotenuse
To find the value of the lenght of the diagonal d across the square, we have:
Where a = b = 20
Substituting the values
Round the answer to 2 decimal places