Asolid oblique pyramid has a regular pentagonal base. the base has an edge length of 2.16 ft and an area of 8 ft2. angle acb measures 30°.

what is the volume of the pyramid, to the nearest cubic foot?

5 ft3
9 ft3
14 ft3
19 ft3

The correct option is 4.

Step-by-step explanation:

Given: The pentagonal base with edge length of 2.16 ft and area of 8 ft². Angle ACB measures 30°

In triangle ACB,

Volume of an oblique pyramid is

Where, B is area of base and h is height of pyramid.

The volume of the pyramid to the nearest cubic foot is 19 ft³ and option 4 is correct.

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.