Question

Prism/Pyramid Object:


1. Base Area Calculations:


2. Volume Calculations:


3. Surface Area Calculations:




Cone/Cylinder Object:


1. Base Area Calculations:


2. Volume Calculations:


3. Surface Area Calculations:






Reflection Question 1:


What should your units on your base area calculations be, and why? How is this


different from the units on your volume calculations? Explain in two to three sentences.




Reflection Question 2:


If you were to take a cross-section parallel to the base for one of your items, what shape


would you see? Can a cross-section be a sphere? Explain in two to three sentences

Answer 1

The properties of cones and cylinders include their base areas, volumes and surface areas.

How to calculate areas and volumes?

The question is incomplete; so I will give a general explanation on how base areas, volumes and surface areas can be calculated.

Base Area

Assume the figure is a cone of the following dimension:

Radius (r) = 3 meters

Height (h) = 4 meters

Slant height (l) = 5 meters

The base area is the area of the base.

A cone has a circular base.

So, the base area (b) is:

$b = \pi r^2$

So, we have:

$b = 3.14 * 3^2$

$b = 28.26$

Volume

The volume of a cone is calculated as:

$V = \frac13 \pi r^2h$

So, we have:

$V = \frac13 * 3.14 * 3^2 * 4$

$V = 37.68$

Surface Area

The surface area is calculated as:

$A = \pi r(r+\sqrt{h^2+r^2})$

So, we have:

$A = 3.14 * 3(3+\sqrt{4^2+3^2})$

$A = 75.36$

Using the assumed values, the base area, volume and the surface area of the cone are 28.26, 37.68 and 75.36 respectively.

Read more about three-dimensional figures at:

https://brainly.com/question/6613758