Write a word problem involving surface area or volume that you think is challenging. Then solve the problem, providing only the answer in the same blog. The most challenging problem from the class with the correct answer will receive bonus.
After completing this blog, define the following terms in your notebook. You may reference pages 583-584 from your online textbook.
relation
input
output
function
domain
range
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There is hotel with a pyramid roof. The diameter of the hotel is 80m and the height is 100m. The lateral angle of the roof is 50m. What is the surface area of the hotel?
ReplyDelete38720 squared meters
Sorry the answer is 38080 squared meters because you have to take the surface area of the top of the hotel away from the base of the roof. (They are the same)
ReplyDeleteThe calculator box making company wants to figure out how much money it will take to make 10 calculator boxes. Each calculator box has a height of 5cm, width of 20cm, and the length of 10cm. It takes 3 dollars for each 5squared cm.
ReplyDeleteAnswer: 6000dollars
There is a cylindrical house with a cone as the roof. There are 2 trapezoid shaped windows on each of the cylinder and the cone. The diameter of the base of the cone and cylinder is 48 m, the height of the cylinder is 52 m, and the slant height of the cone is 40 m. The height of the trapezoid windows on the cylinder is 1.5 m, one of the bases are 1.5 m, and the other base is 2.5 m. The height of the trapezoid windows on the cone is 0.5 m, one of the bases are 0.5 m, and the other base is 1.5 m. Find the surface area and the volume of the house and the surface area of the house excluding the trapezoid shaped windows that are on it.
ReplyDeleteAnswers:
Surface Area of the House= 16277.76 m2
Surface Area of the House without the Trapezoid Windows= 16270.76 m2
Volume of the House= 113341.44 m2
There is a rectangular water tank and it is 3ft by 5ft by 7ft. Half of the water tank is filled with water already. How much water can you put into the water tank?
ReplyDeleteAnswer- 52.5ft3
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ReplyDeleteJack made a design which has the same equilateral triangles on each side of a square prism. The base of the triangle matches perfectly with the sides of the square. What is the surface area of this prism design if the base of the triangle is 5 in. and the height is 4.5 in.?
ReplyDeleteAnswer= 510in^
Mark had a cup that was designed in a cone shape. The cone's diameter was 6 inches and the slant height of 5 inches. First he poured a full cup of water in to the cone. Then he decided to pour it in to a Pringle's bottle (cylinder shape) which had a diameter of 12 inches and a height of 30 inches. How many cups of water will Mark have to pour into the the Pringle's bottle to make it full?
ReplyDeleteAnswer: 90 cups
There is a clock that is in a shape of a disk. The thickness (height) of the clock is 2 inches. The clock consists of a white inner circle (where the clock mechanism is housed), and a wood outer circle. The diameter of the whole entire clock 15 inches. The diameter of the small circle inside the clock is 7 inches. Find the volume of the wooden portion.
ReplyDeleteAnswer: 276.32 Inches Cubed
Bob the architect is planning to build a building in Seoul. To make the building look special, he planned to make the building in a shape of a cylinder. If the diameter of the building is 8 meters and the height is 10, how much wood would it take to build the outer layer of the building? (surface area)
ReplyDeleteAnswer: 351.68 meters2
It was Molly's birthday and she had a cone(hat) on her head. The cone had slant height of 12cm with a diameter with 8cm. What is the surface area of the cone?
ReplyDeleteAnswer: 200.96 square cm
There is a World Cup cone ice-cream that costs ₩1000. The diameter of the base is 8cm and the height is 12cm. Find the price per 1cm3 (Round nearest hundredth)
ReplyDeleteAnswer- ₩4.98
Joseph is drawing a blueprint of the house he needs to build for the house owner. Joseph hasn't calculated the volume of the house yet. The house has a rectangular prism shape with a pyramid above it. The rectangular prism's base has an area of 25cm with a height of 14cm. The height of the prism is 15cm. What is the volume of the entire house?
ReplyDeleteAnswer: 475 cubic cm
After lunch, I went to an ice-cream store and bought a delicious chocolate cone ice-cream. The ice-cream was formed by a cone and a sphere of ice-cream sitting on the top. The cone's surface area is 4983.18 millimeter squared, with a slant height that is twice the length of the radius. The sphere of ice-cream has a diameter same as the diameter of the cone. I took one delicious bite of the first ice-cream. Somehow, I realized I have consumed exactly 5432 cubic millimeters of ice-cream, from the sphere. How much actual ice-cream is left for me to eat (excluding the cone)?
ReplyDeleteRound to the nearest hundredth, use 4/3 ∏ r(r)(r) for the formula of the sphere’s volume.
ANSWER= 45507.17 millimeters cubed
A book company knows that they have 10 of the same book (has the same size). The side lengths are 3 in. and 4 in. while the height is 6 in.. But the book company wants the book to be longer and make the book thinner which looks more attractive. So the book company made 10 books of length sides 6 and 8 with the height of 3. What is the surface area for all the books including the normal ones and the re-made ones?
ReplyDeleteAnswer: 2,880 squared inches.
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ReplyDeleteA rectangular pool is 45 feet long and 18 feet wide and 4 feet deep. On another hand a cylinder shaped pool is is 6 feet deep and the radius of the pool is 12. Which Pool holds more water?
ReplyDeleteAnswer- The rectangular pool holds more by 527.04
There is a house in Seoul that has a pyramid shaped roof. The height of the pyramid roof is 50m. The height of the whole house is 110m. The length is 60m and the width 40m. What is the volume of the whole house?
ReplyDeleteAnswer: 184000 cubic meters.
There is a cone hat. The diameter of the cone is 12 cm. The slant height of the cone is 24 cm. Also there is a guy who wears that cone hat. His face is a circle. It's radius is 4 cm. What is the surface area of this cone and his face?
ReplyDeleteAnswer:614.44 cm squared
There is a cone hat. The diameter of the cone is 12 cm. The slant height of the cone is 24 cm. Also there is a guy who wears that cone hat. His face is a triangular prism. It's four side are 5 cm and the height is 8 cm. What is the surface area of this cone and his triangular prism face?
ReplyDeleteAnswer:725.2 cm squared
There is a cone hat. The diameter of the cone is 12 cm. The slant height of the cone is 24 cm. Also there is a guy who wears that cone hat. His face is a triangular prism. It's four side are 5 cm and the height is 8 cm. What is the surface area of this cone and his triangular prism face?
ReplyDeleteAnswer:725.2 squared cm
There is a square pyramid. Its height is 150 ft. A side length of the base is 50 ft. There is another pyramid with a height of 138 ft. A side length of its base is 36 ft. Which pyramid's volume is greater and by how much?
ReplyDeleteAnswer: The pyramid with the height of 150 ft and by 65, 384 cubed ft more.
These were some great word problems. However, after careful analysis, the winner is...
ReplyDeleteNOELLA!!!