Unit 2 Surface Area and Volume Project Build a Robot (Total 60 points) Objective – To construct a robot from 3-dimensional solids(figures) and determine amount of Styrofoam packing peanuts you will need to fill it and the amount of aluminum foil you will need to cover it. NOTE: We are not actually building the robot it will be a virtual build like our classroom! Questions: What measurement is needed to determine the amount of Styrofoam packing peanuts you will need? What measurement is needed to determine amount of aluminum foil you neesd to cover it?

The solids/figures we will be using What unit of measurement is used for the dimensions of these solid figures? ______ (feet, inches, meters, yards??) 5 in 11 in 13 in 9 in This is a square pyramid 12 in 6 in 15 in 6 in 18 in 36 in 12 in 8 in 8 in 12

Our Robot

Calculations: You Must Show Your Work! You need to calculate the Surface Area and Volume of each piece of the Robot Please put these calculations(answers) in the table given to you. If you miss any of the calculations, some partial credit can be given if work is shown. Showing your work is worth 5 points (even if answers are incorrect) For any calculations with π use 3.14 to approximate (not π button!) If any answers have decimals, DO NOT ROUND!! Leave decimals in final answer (should only be two decimals places (hundredths) This document will be submitted to the 2.18 Robot – Surface Area_Volume Project assignment folder. USE THE NEXT TWO SLIDES TO SHOW YOUR WORK (worth 5 points)

must write out steps to earn partial credit Show Work must write out steps to earn partial credit HEAD r = HAT Slant Height (l)= h = BODY L = W = ARM

must write out steps to get partial credit Show Work must write out steps to get partial credit HAND Slant height (l)= Area of Base = Perimeter of Base = h = FOOT L = W =

Finding Surface Area and Volume (40 points) We will cover the shapes with aluminum foil before connecting them together. Use the table below to keep track of your measurements (make sure to enter proper unit of measure for each! What unit of measurement is used to measure surface area of a solid? (2pts)______ What unit of measurement is used to measure volume of a solid? (2pts)_________ Body Part Surface Area (3pts each*) Volume (3pts. each*) Head* Hat* Body* Arm 1 * Arm 2 Hand 1* Hand 2 Foot 1* Foot 2 You must enter final answers here! Don’t forget to include correct units of measure in ALL columns for ALL answers!!

Now the fun part! (15 points) Once you have calculated your surface area and volume of each part, find the totals for the Robot (figure). Use Next Slide to show work! Determine Number of boxes of aluminum foil needed Determine number of packages of Styrofoam packing peanuts needed TOTAL Surface Area of Robot 1) TOTAL Volume of Robot 2) 2 cubic ft./ package $1.75 25 sq. ft. box $2.25 Determine Total Cost Number of Boxes of Styrofoam packing peanuts needed? 5) Number of Boxes of Aluminum needed? 3) TOTAL COST FOR MATERIALS?? 4) You must enter final answers here!

must write out steps to get partial credit Show Work must write out steps to get partial credit 1) Total Surface Area (Sum Surface Area of all Parts) 2) Convert to square feet (divide Total Surface Area in square inches by 144) 3) Determine number of boxes needed(each box 25 square feet): 1) Total Volume (Sum volume of all Parts) 2) Convert to cubic feet (divide Total Volume in cubic inches by 1728) 3) Determine number of boxes needed (each box 2 cubic feet): Calculate total cost of aluminum foil and Styrofoam packing peanuts (Number of boxes * price for each and then add them together!)

Polygon Area Formulas Shape Formula Variables Square 𝐴= 𝑠 2 s = side of square Rectangle/ Parallelogram 𝐴=𝑏∗ℎ b = base h = height (forms right angle with base) Triangle 𝐴= 1 2 ∗𝑏∗ℎ Trapezoid 𝐴= 1 2 ∗ 𝑏 1 + 𝑏 2 ∗ℎ 𝑏1 and 𝑏 2 = bases (parallel sides) Regular Polygon 𝐴= 1 2 𝑎𝑃 a = apothem P = perimeter

Surface Area and Volume Formulas Figure Formula S = Surface Area V = Volume Variables Prism SA = h∗P + 2∗B V = Bh h = Height of the Prism P = Perimeter of the Base B = Area of the Base Pyramid SA = 1 2 ∗ l ∗ P + B V = 1 3 * B * h l = slant height of PYRAMID P = Perimeter of the BASE B = Area of the BASE Cylinder h = height (forms right angle with base) Sphere r = radius Cone l = slant height of cone h = height of the cone