Area of 2d shapes
A drawing of a house is made of a rectangular base that is 10 inches wide and 6 inches tall, with a triangular roof on top. The triangular roof has a base of 10 inches and a height of 4 inches. What is the total area of the house drawing?
Answer: 80 square inches.
A book is 10 inches long, 8 inches wide, and 1 inch thick. How much wrapping paper is needed to completely cover the book?
Answer:196 square inches of wrapping paper.
For every 3 triangles, there is 5 squares and 11 squares.What is the ratio of squares to all shapes?
Answer:11:19
A puppy weighs 8.5 kg and a book bag full of heavy books weighs 18 pounds. Which weighs more? Provide an explanation of your findings. Note* 1 pond is equivalent to 0.45 kg.
A puppy weighs more than a bag of books. Possible explanation: The book bag weight when converted from pounds to kilograms is equivalent to 8.1 kilograms.This will show the book bag is 0.4 kg less than the puppy's weight.
There are 25 pieces of fruit in a bowl and 5 of them are apples.
What percentage of the pieces of fruit in the bowl are apples?
Answer:20%
A triangle has a base that is 12 cm and the area of the triangle is 132 cm squared. What is the measurement of the missing height?
Height is 11cm
Akira receives a prize at the science fair for having the most informative project. Her trophy is in the shape of a square pyramid and is covered in shiny gold foil. The base of the triangles are 6in and the height is 5 in. How much gold foil does it take to cover the trophy, including the bottom?
Answer: It takes 96 square inches to cover the trophy.
A machine produces chocolates at a constant rate. In 42 minutes, the machine produces 7 pounds of chocolates. How long, in minutes, will it take the machine to produce 9 pounds of chocolates?
Answer: It will take 54 minutes to produce 9 pounds of chocolate.
Aaron and Noah wanted to have a contest to see which of their paper airplanes could fly the longest distance. Aaron's plane flew four meters. Noah's plane only flew seventy-nine centimeters. How much further did Aaron's plane fly? Note*There is a 100 cm is equivalent to 1 meter.
Answer: Aaron's airplane flew 3.21 meters further than Noah's airplane.
The number 4 is 16% of what number?
Answer:25
What is the area of a parallelogram with a base that is 5 in and a height that is 3.5 in?
Area=17.5cm squared
Kevin needs to buy some cardboard to build a box 12 inches long, 8 inches wide, and 10 inches high. How much cardboard is needed to build the box?
Answer: 592 square inches of cardboard are needed to build the box.
There are 104 calories in an 8-ounce serving of soda. How many calories are in 1 ounce of soda?
Answer: There are 13 calories in 1 ounce of soda.
We are driving to Las Vegas. The sign says that it is one hundred forty-five kilometers to Las Vegas. How many meters is it to Las Vegas?
Answer:145,000 meters
On Saturday, Justin read 60% of a 380-page book. That day, Aiden read 50% of a 450-page book.
Who read more pages that day? Explain or show your reasoning.
Answer: Justin read more pages that day.
Possible Explanation: Justin read 228 pages and Aiden read 225 pages. Justin read 3 more pages than Aiden.
List six examples of possible base and height of triangles that have an area of 45 inches squared.
Base of 9in and a height of 5in
Base of 15in and height of 3in
Base of 6in and height of 7.5in
The reverse of each base and height listed.
Dmitri's mom is making a tent that has two triangular ends and three rectangular sides (including the floor). The triangular bases have a base of 5 feet and a height of 12 feet. The side lengths of the triangle are 5, 12, and 13 feet. The tent is 15 feet long. How much material is needed?
Answer:60+75+180+195=51060 plus 75 plus 180 plus 195 equals 510
A tutoring company charges $25 per hour to tutor a student. How many hours of tutoring would cost $62.50?
Answer: 2.5 hours
Disney world in Florida is 8,800 meters from Time Square NYC. How many kilometers would this be? How many centimeters would this be?
Answer: 8.8 kilometers and 880,000 centimeters
A cafeteria made 17 turkey sandwiches and 33 ham sandwiches. What percentage of the total sandwiches were turkey?
Answer: 34%
A parallelogram has a height that is 5.25 cm and a base that is 14.5 cm. What is the area of the parallelogram?
Area= 76.125cm squared
A square prism (a rectangular prism with a square base) has a height of 11 inches. If the area of its square base is 49 square inches, what is the total surface area?
Answer:98+308=406
An artist uses a ratio of 6 gallons of orange paint to 8 gallons of blue paint. If the artist uses 1 gallon of blue paint, how many gallons of orange paint will they use?
Answer:0.75 or 3/4 gallons of orange paint will be needed.
Ethan lives at one end of Park Avenue and Brian lives at the other. The avenue is 5.8 kilometers long. If Ethan walks 2.79 kilometers toward Brian's house, how many meters does he still have to walk?
Answer: 3,010 meters
A television originally costs $295 but is discounted by 30%. What is the new sale price?
Answer:$206.50