The sides of the base of a right Square pyramid are 3 Meters in length ,And it's slant height is 6 m. If the length of the side of the base and the slant height are each multiplied by 3, by what factor is the surface area X?

9

Step-by-step explanation:

We have that the total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base, therefore, it would be equal to:

As = 1/2 * p * h + l ^ 2

where l are the sides that measure 3, p is the perimeter that is the sum of the sides, and since there are 4 sides, then it would be 12 (3 * 4), h the inclined height is 6, replacing we are left with:

As = 1/2 * 12 * 6 + 3 ^ 2

Ace = 45

Now they say the sides and the tilt height are multiplied by 3, the sides now measure 9, therefore the perimeter is 36 (4 * 9), the height would be 18, the replacement would be:

Ace = 1/2 * 36 * 18 + 9 ^ 2

Ace = 405

Therefore, the factor would be:

405/45 = 9

Which means that the factor is 9.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

b

step-by-step explanation: