A science fair poster is a rectangle
3
ft
long and
2
ft
wide. Some of the entry rules for the fair refer to the area of the poster in square inches. Use the facts to find its area in square inches.
To find the area of a rectangle, you multiply its length by its width.
Given that the length of the poster is 3 ft and the width is 2 ft, we can calculate the area in square feet:
Area (in square feet) = Length (in feet) x Width (in feet)
Area = 3 ft x 2 ft
Area = 6 ft^2
To convert the area from square feet to square inches, we use the conversion factor:
1 square foot = 144 square inches
So,
Area (in square inches) = Area (in square feet) x Conversion factor
Area = 6 ft^2 x 144 sq in/sq ft
Area = 864 square inches
Therefore, the area of the poster in square inches is 864 square inches.
A science fair poster is a rectangle
3
ft
long and
2
ft
wide. Some of the entry rules for the fair refer to the area of the poster in square inches. Use the facts to find its area in square inches.
Tom has a new aquarium. The tank is in the shape of a rectangular prism,
4ft
long,
3ft
wide, and
2ft
deep. He plans to raise fish and sell them to a local pet store. The pet store will inspect the aquarium to make sure that the fish are being kept in a healthful environment. One of the main concerns is that each fish has enough water. Tom looks up the amount of water needed for the species of fish he plans to raise. He finds the answer, but it is given in cubic inches.
(a) Find the volume of water that the tank holds in cubic inches. Use the table of conversion facts, as needed.
in3
(b) The particular species Tom plans to raise requires at least
1290in3
of water per fish. If there is any amount less than this, no matter how much less, the pet store will not accept Tom's fish. What is the largest whole number of fish that he can keep in the aquarium?
fish
(c) The pet store will pay
$7.99
for each fish. If he fully populates his aquarium and sells all the fish, how much money will he collect?
$
(a) To find the volume of the aquarium in cubic inches, we multiply its length, width, and depth.
Volume (in cubic inches) = Length (in inches) x Width (in inches) x Depth (in inches)
We need to convert the dimensions from feet to inches.
1 foot = 12 inches
So,
Length (in inches) = 4 ft x 12 inches/ft = 48 inches
Width (in inches) = 3 ft x 12 inches/ft = 36 inches
Depth (in inches) = 2 ft x 12 inches/ft = 24 inches
Now we can calculate the volume:
Volume = 48 inches x 36 inches x 24 inches
Volume ≈ 41,472 cubic inches
(b) To find the largest whole number of fish that Tom can keep in the aquarium, we divide the volume of the tank by the volume of water needed per fish.
Largest number of fish = Volume of tank / Volume of water needed per fish
Largest number of fish = 41,472 cubic inches / 1290 cubic inches per fish
Largest number of fish ≈ 32 fish
Therefore, Tom can keep a maximum of 32 fish in the aquarium.
(c) To find the amount of money Tom will collect if he sells all the fish, we multiply the number of fish by the price per fish.
Amount of money collected = Number of fish x Price per fish
Amount of money collected = 32 fish x $7.99 per fish
Amount of money collected ≈ $255.68
Therefore, Tom will collect approximately $255.68 if he sells all the fish.
A boy weighs
44
pounds. How much does he weigh in kilograms? Use the following conversion:
1
kilogram is
2.2
pounds.
To convert pounds to kilograms you divide the number of pounds by the conversion factor, which is 2.2 pounds per kilogram.
Weight in kilograms = Weight in pounds / Conversion factor
Weight in kilograms = 44 pounds / 2.2 pounds per kilogram
Weight in kilograms = 20 kilograms
Therefore, the boy weighs 20 kilograms.
Carmen is ordering
3
bags of cat food from Canada. Each bag has a mass of
5
kg
. To determine the shipping costs, Carmen needs to know the total weight in pounds. What is the weight of the cat food in pounds?
Use
=1kg2.2lb
and do not round any computations.
To convert kilograms to pounds, you multiply the number of kilograms by the conversion factor, which is 2.2 pounds per kilogram.
Weight in pounds = Weight in kilograms x Conversion factor
Weight in pounds = 3 bags x 5 kg/bag x 2.2 pounds/kg
Weight in pounds = 33 pounds
Therefore, the weight of the cat food in pounds is 33 pounds.
Lashonda is planning on visiting Toronto next week on business. Checking her WorldTemp app, she notices that on the day she arrives, the high temperature is forecast to be
−13.2°C
. What is this temperature in degrees Fahrenheit (
°F
)?
Use the given formulas as necessary, and round your answer to the nearest tenth of a degree.
To convert the temperature from Celsius to Fahrenheit, you can use the formula:
°F = (°C * 9/5) + 32
Plugging in the given temperature:
°F = (-13.2 * 9/5) + 32
°F = (-23.76) + 32
°F = 8.24
Rounding to the nearest tenth of a degree, the temperature in degrees Fahrenheit is 8.2°F.
First, fill in the blank below with the correct unit.
Then use scientific notation to represent the quantity in meters.
The depth of the ocean was
2.9
▼kilometers.
Writing in scientific notation, this is
meters.