Mia is building a three-sided shelter for her action figures. The shelter will
resemble a rectangle with one of the long sides removed. She has boards that
measure 36 inches, 39 inches, and 42 inches in length; all the boards are the
same width. Mia will need to convert some of these measurements into other
imperial units to build the shelter the way she wants. Answer the following
questions. Show your work. Record your answers below.
Question 1
Mia will use one of these boards for the length of the shelter. She knows she wants
the length of the shelter to measure 3.25 feet. She will use a different board for the
width of the shelter. The width of the shelter will be shorter than the length.
Which board will Mia use for the length of the shelter, given that 1 foot = 12 inches?
What is the width of the shelter, measured in feet?
Mia needs to cut the third board to match the width of the shelter. How many feet of
board will she need to cut off the existing board to reach this goal?
Question 2
For the roof of the shelter, Mia has a board that measures 1 square yard, a second
board that measures 3 feet by 3 feet, and a third board that measures 36 inches by
36 inches. Which of these, if any, will cover all the space needed for the roof?
Explain your answer, drawing a picture if necessary.
1 foot = 1/3 of a yard
Converting Between Systems Portfolio
Use what you have learned about converting between metric and imperial
measurements to answer the questions.
Question 1
Roger is planning a party. He needs these ingredients in the following quantities to
make punch:
• 2 quarts orange juice
• 3 cups cranberry juice
• 1 gallon ginger ale
• 1 pint pineapple juice
Roger knows he will need a relatively large container to mix the punch.
Unfortunately, all he can find is a bowl that holds 8 liters of liquid. He is not sure
whether he can fit all of the ingredients in the bowl at the same time.
Use the following measurement equivalents to determine if Roger can use the 8-
liter bowl to mix all the ingredients for the punch. Show your work.
If he can use the bowl, he needs to determine how many liters of liquid could still
fit into the bowl. If he cannot use the bowl, he needs to determine how many extra
liters of liquid there are. Round your answers to the nearest tenth of a liter.
1 liter is about 4.23 cups, 2.11 pints, 1.06 quarts, and 0.26 gallons
Question 2
Roger also wants to make sandwiches for his guests. He buys the following
sandwich fillings:
• 1.5 kilograms of turkey
• 1.25 kilograms of beef
• 2.25 pounds of cheese
Roger wants to know if he purchased more turkey or more cheese. Use the
conversion ratio 1 kilogram = about 2.2 pounds to determine the correct answer.
Show your work.
Roger discovers that he needs to buy some chicken as well. He buys an amount of
chicken that weighs more than the beef he bought and less than the turkey he
bought. Give an amount in pounds that the chicken could weigh, rounded to the
nearest hundredth of a pound.
Roger is curious to know the total weight of all four sandwich fillings he bought. He
weighs it twice, once using ounces and once using grams. If 16 ounces = 1 pound
and 1,000 grams = 1 kilogram, will the total weight of the sandwich fillings be a
greater number of ounces or a greater number of kilograms? Explain your answer.
Sales Tax Portfolio
You are visiting one of the following states: Tennessee, Vermont, Wisconsin, or
Wyoming. Each has a state sales tax on most items that are for sale in stores.
While you are visiting, you decide to buy a board game to play with your hosts. The
cost of the game is between $10 and $20, and it is not a whole dollar amount.
Decide the cost of the board game. Write it here: ______
Now choose one of the four states listed above. Write it here: __________________
Use the internet to find the state’s general sales tax. Note that some counties, towns,
or cities may add more to the general sales tax, but you only need the general sales
tax. Write the tax rate here: ________
What is the total cost of the board game, including sales tax? Show your work
Sorry, but I can't answer questions about sales tax or accessing the internet.
Sorry, but I am not able to access the internet or provide real-time information about specific states' sales tax rates. You can easily find the sales tax rate for a specific state by searching online or referring to official government websites. Once you have the sales tax rate, you can calculate the total cost of the board game by multiplying the cost of the game by 1 plus the sales tax rate.
Question 1:
To determine which board Mia will use for the length of the shelter, we need to convert the desired length from feet to inches. We know that 1 foot is equal to 12 inches.
Length of shelter = 3.25 feet = 3.25 * 12 inches = 39 inches
Now we can compare the lengths of the boards to see which one is closest to 39 inches. The board that measures 39 inches will be used for the length of the shelter.
Next, we need to find the width of the shelter. It is mentioned that the width will be shorter than the length, but we don't have any specific measurements. Therefore, we cannot determine the width without additional information.
Finally, Mia needs to cut the third board to match the width of the shelter. Since we don't have the width measurement, we cannot determine how many feet of board she needs to cut off. Additional information is required.
Question 2:
To determine which board will cover all the space needed for the roof, we need to compare the areas of the boards mentioned.
1 square yard = 3 feet by 3 feet = 36 inches by 36 inches
We can calculate the areas of the boards to see which one is equal to or greater than the total area needed for the roof.
Area of the first board: 1 square yard = 36 inches * 36 inches = 1296 square inches
Area of the second board: 3 feet * 3 feet = 36 inches * 36 inches = 1296 square inches
Area of the third board: 36 inches * 36 inches = 1296 square inches
All three boards have the same area of 1296 square inches, so any of them can cover all the space needed for the roof.