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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Jasmine's mail box was broken and damaged by the neighborhood dog. Jasmine wants to get the money from the dog's owner to buy a new mail box. The mail has a rectangular prism and a half of a cylinder at the top. The previous mail box had a length of 4.56ms, width of 7ms, and the height of 7.5ms and the radius of 4 meters with the height of 4.56meters. one cubic meter costs $4.50. Find the volume and the amount of money. Use pi as 3.14 and round it to the nearest hundredths.
ReplyDelete(4.56)(7)(7.5)+(3.14)(4)(4)(4.56)
=239.4+229.0944
=468.4944cm3
=$2108.22
Mr.Jobe has a model of a rocket-ship that has cylinder as a base and a cone on the top. The base has a diameter of 12m and height of 10m. The top part has the same diameter as the base and a lateral height of 8m. What is the surface area of the total model of a rocket-ship?
ReplyDeleteAns: 263.76meter square
Jill needs some containers to put her water in. She decides to connect two cylinder containers for storing her water. The first cylinder has a diameter of 10mm and a height of 23mm. The second cylinder has a radius of 5mm and a height of 46mm. What are the volumes of each cylinder and what is the volume of the two cylinders put together? Round to the nearest hundredth
ReplyDeleteAnswer: 1st Cylinder=601.83mm3, 2nd Cylinder=1203.67mm3,
Total Volume=1885.5mm3
A bird flew over a square painting, and saw a circle in the middle of the painting. One of the square's side lengths measure 6.25 inches. The area of the square minus the circle is 26.5025 square inches. What is the radius and the area of the circle?
ReplyDelete- Area: 12.56 in. squared
- Radius: 2 in.
Tom was building a building out of blocks. A rectangular prism with the volume of 131.25 cubic cm and base side lengths of 2.5 and 3.5 cm was the foundation of the structure. A 13 by 3 by 4 rectangular prism was on top of it. 3 cubes with a side length of 2.5 cm were placed 1 cm apart on top of the rectangular prism. Another rectangular prism that had base side lengths of 3.5 cm and 2 cm and a length of 100 mm was placed on top of the 3 cubes. A cylinder with the volume of 12.56 cubic cm and a length of 4 cm was placed on top of it. 1 cm away was another cylinder with a diameter of 3 cm and a height of 4 cm. At the very top was a triangular prism with a 5 by 5 by 6 base and a length of 6 cm. Tom wants to paint the surface are of his building. After buying his paint, however, he went a little crazy and thought he didn’t have enough paint. Instead of buying more paint, he, for some reason, took out a rectangular prism that had the second largest volume (compared to the other rectangular prisms). How many cubic cm does Tom have to paint?
ReplyDeleteanswer: 503.33 square centimeters (it might not be right....)
Tom was building a building out of blocks. A rectangular prism with the volume of 131.25 cubic cm and base side lengths of 2.5 and 3.5 cm was the foundation of the structure. A 13 cm by 3 cm by 4 cm rectangular prism was on top of it. 3 cubes with a side length of 2.5 cm were placed 1 cm apart on top of the rectangular prism. Another rectangular prism that had base side lengths of 3.5 cm and 2 cm and a length of 100 mm was placed on top of the 3 cubes. A cylinder with the volume of 12.56 cubic cm and a length of 4 cm was placed on top of it. 1 cm away was another cylinder with a diameter of 3 cm and a height of 4 cm. At the very top was a triangular prism with a 5 cm by 5 cm by 6 cm base and a length of 6 cm. Tom wants to paint the surface are of his building. After buying his paint, however, he went a little crazy and thought he didn’t have enough paint. Instead of buying more paint, he, for some reason, took out a rectangular prism that had the second largest volume (compared to the other rectangular prisms). How many cubic cm does Tom have to paint?
ReplyDeleteanswer: 517.33 square centimeters (it might not be right....)
Kristen is building a water rocket. The rocket is made up of a cone on top of a cylinder with the same diameter as the cone. The diameter of the cylinder is 32cm, and the slant height is 34 cm. The height of the cylinder is two times the height of the cone. Find the volume of the whole rocket.
ReplyDeleteanswer: 49304.24 cubic centimeters
THE PROBLEM ABOVE IS WRONG!! THIS IS THE RIGHT ONE! sorry!!!
ReplyDeleteKristen is building a water rocket. The rocket is made up of a cone on top of a cylinder. The cylinder has the same diameter as the cone. The diameter of the cone is 32cm, and the slant height is 34cm. The height of the cylinder is two times the height of the cone. Find the volume of the whole rocket.
answer: 49304.24 cubic centemeters
Mr. Forrestal decides to build a house. He starts off with a square prism for a base with the surface area of 576 squared meters, side length of 12 meters, and height of 6 meters. Then he decides to make his house a two-story building, the second floor with the same dimensions as the first floor. Then, for a roof he decides to make his unique so he puts half a cone for the roof on it’s side, with a height of 12 meters and a radius of 9 meters. Find the surface area and volume of Mr.Forrestal’s new house. Round to the nearest tenth if necessary.
ReplyDeleteA: SA = 1331.7 squared meters
V = 1812.8 cubic meters
Rachel has a cone with diameter of 15cm, and lateral height of 10cm. She wants to make ice cream cone like that with paper. She has 32900cm² of paper. How many paper icecream cone can she make? Remember how icecream cone looks like!
ReplyDeleteAnswer: lateral surface area of cone: pi*r*l= 235.5
32900/235.5= 139.70276
139 icecreamcone
There is a frontal and the side view of the solid figure. The front view is a donut-like figure with a hole that has a diameter of 6 cm. The side view is a figure of a trapezoid with the top base 20 cm and the bottom 45 cm. The height of the donute-like figure and the trapezoid is 18 cm. Find the solid figure's volume. (πis 3.14 and multiply πin the end)
ReplyDeleteAnswer: 2340π= 7347.6 cubic centermeter
SORRY ABOVE ANSWER IS WRONG!!!
ReplyDeleteA: SA = 1488.2 squared meters
V = 1812.8 cubic meters
Mr. Jobe made a funny looking robot. The robot has a rectangular prism for its body. The base of its body is 36 square feet and the height of its body is 10 feet. The robot has cones for its legs. The diameter of one of its leg is 6 feet and the slant height is 5 feet. The robot has cylinders for its arms. The radius of one of its arm is 6 feet and the height is 6 feet. The robot has a pyramid for its face. One side of its base is 4 feet and the slant height is 6 feet. What is the surface area of Mr. Jobe’s funny looking robot?
ReplyDeleteAnswer: 974.88 squared feet
Bob wants to build a Greek looking house with four pillars. But, he made the two pillars on the front different from the two pillars in the back. The pillars are cylinder-looking. The front pillars' height is 16m with a diameter of 15m. The back pillar's height is 20 m with a diameter of 17m. The main square prism base is the pillar's height squared. The height is 23 m. What is the total surface area?
ReplyDeleteAnswer: 7,240.36 squared meters
If you want to build a house in the shape of a can. And the radius was 5 and the height was 25. What was the volume of the house?
ReplyDeleteA: 78.5 * 25 = 1962.5
You construct a house by putting a square pyramid on top of rectangular prism. The square pyramid is 10 cm high, 5 cm wide, and 7 cm long. The pyramid is 7 cm high, 5 cm wide, and 7 cm long. He cuts the model in half, and throws one half away so that only half of the pyramid and half of the prism are remaining. After being cut in half, what is the volume of the house rounded to the nearest tenth?
ReplyDeleteA: 431.7 cm3
you are building a castle with 4 pillars and 4 roofs on top of it and the walls are round. the wall to the middle of the castle are 7km far and is 5km high. if the roof is a cone and is 1km high and 2km wide, the pillars are 2km wide and 5km high. add up the areas of the pillars and the roofs and the area in the wall. round to the nearest 10th if necessary.
ReplyDelete245+20+1.3...
A=266.3
sorry wrong question as well:
ReplyDeleteMr. Forrestal decides to build a house. He starts off with a square prism for a base with the surface area of 576 squared meters, side length of 12 meters, and height of 6 meters. Then he decides to make his house a two-story building, the second floor with the same dimensions as the first floor. Then, for a roof he decides to make his unique so he puts half a cone for the roof on it’s side, with a height of 12 meters and a radius of 9 meters. Find the surface area and volume of Mr.Forrestal’s new house. Round to the nearest tenth if necessary.
There are two cones. One of them has a diameter of 4 and a height of 2. The other one’s radius is 5 and the height is 6. What are the volume of the two cylinders? Round to the nearest tenth place.
ReplyDeleteanswer: 165. 4 cm3
Sabin had a pair of cylinder shaped earrings. One day, Sabin measured the radius and height in case he lose the earring. Next day he measured the radius and height of his earrings, his cat ate his earring. So he Sabin decided to buy a same earrings because he liked it a lot. He found out that his earring's diameter was 14 centimeters and the height was 3 centimeter. What is the surface area of Sabin's new earrings?
ReplyDeleteS=2B+PH
2B= 2*7*7*3.14= 307.72cm2
PH= 14*3.14*3= 131.88cm2
307.72cm2+ 131.88cm2= 439.6cm2
Answer: 439.6cm2
A rectangular house with a flat roof had the area of 16 and had the height of 2 , with of 2 and the length of 4. Is the area greater than the surface area? By how much?
ReplyDeletearea:16
surface area:40
so the surface area is greater by 24
Minji decides to make a dog house for her puppy. She starts with a box with the length of 3 feet, width of 2 feet, and the height of also 2 feet. After she is done with the rectangular prism, she chooses to make a roof for the doghouse to make it look more interesting. She begins making 4 triangles with the height of 1 foot. When she was finished, she made up her mind to paint the surface of the house with yellow paint. If the entrance of the doghouse is a rectangle of 1 square feet, how much does she have to paint? (She does not paint the bottom of the doghouse)
ReplyDeleteAnswer: She has to paint the surface area of 24 square feet.
These were some great word problems. However, after careful analysis, the winner is...
ReplyDeleteALBERT!!!