Volume and Figures Activity PDF

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Name: Quickstart Template For this activity, your task is to collect two 3-D items from your environment in order to calculate their volumes and surface areas. One item will be either a prism or a pyramid, the other item will be either a cone or a cylinder. Some items that will work for this activity are canned goods, food storage containers, recyclable cardboard items, etc. Make sure to show all work for your calculations and answer each reflection question in two to three sentences. Prism/Pyramid (Object 1)

Cone/Cylinder (Object 2)

Object 1: Juice Box

Object 2: Coke Can

3-D Shape: Rectangular Prism

3-D Shape: Cylinder

Dimensions: Length 9.5cm Width 5.1cm Height 11.4cm

Dimensions: 4.8 inches tall and 2.6 in diameter

Base Area Calculations: Base of Object 1: 48.5cm

Base of Object 2:5.3

Area Formula: A=2(wl+hl+hw)

Area Formula:A=2πrh+2πr^2

Base Area: A=2(wl+hl+hw) =2·(5.1·9.5+11.4·9.5+11.4·5.1) =429.7

Base Area:AB=πr^2 AB=3.14(1.3)^2 AB=5.31

Volume Calculations: 3-D Shape of Object 1: Rectangular Prism

3-D Shape of Object 2: Cylinder

Volume Formula: V=whl

Volume Formula:V=πr^2h

Volume: V=whl =(5.1)(11.4)(9.5) =552.3

Volume:V=πr^2 h=π(1.3^2) (4.8) V≈25.48

Surface Area Calculations: 3-D Shape of Object 1: Rectangular Prism

3-D Shape of Object 2: Cylinder

Surface Area Formula: A=2(wl+hl+hw)

Surface Area Formula:A=2πrh+2πr^2

Surface Area: A=2(wl+hl+hw) =2(5.1·9.5+11.4·9.5+11.4·5.1) =429.78

Surface Area: A=2πrh+2πr^2 =2(π)(1.3)(4.8+2)(π)(1.3^2) A≈49.83

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. For area the units used are square units because you're using two dimensions to find it. For volume the units you should be using are cubic units because you're using three dimensions.

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. If I were to take a cross-section parallel to the base of my cylinder it would be a circle. A cross-section cannot be a sphere because a cross section is the face you get from cutting a shape. Since it is the face you get a 3d object like a sphere cannot be a crosssection....