Ask Question
MathematicsMathematics
26 January, 20:03

An interior designer is buying fabric to cover throw pillows for a master bedroom. She needs material to cover 6 pillows-3 rectangle-shaped, 2 cylinder-shaped, and one sphere-shaped. The rectangles are 18 inches by 12 inches by 2 inches. The cylinders are 12 inches high and have a radius of 7 inches. The sphere has a radius of 10 inches. a. What is the surface area of each rectangle-shaped pillow?

b. What is the surface area of each cylinder-shaped pillow?

c. What is the surface area of the sphere-shaped pillow?

d. What is the total surface area for all 6 pillows?

the designer also needs to buy stuffing for the pillows.

e. What is the volume of each rectangle-shaped pillow?

f. What is the volume of each cylinder-shaped pillow?

g. What is the volume of the sphere-shaped pillow?

h. What is the total volume needed to stuff all the pillows

+2
Answers (1)
  1. 26 January, 20:25
    0
    a. 552 square inches b. 835.7 square inches c. 1256.6 square inches d. 4584 square inches e. 432 cubic inches f. 1847.3 cubic inches g. 4188.8 cubic inches h. 9179.3 cubic inches

    Step-by-step explanation:

    a-c. The area formulas for these figures are ...

    rectangular prism: A = 2 (lw + h (l+w))

    cylinder: A = 2πr (r + h)

    sphere: A = 4πr^2

    d. The total will be the sum of products: area of each pillow times the number of that type

    __

    e-g. The volume formulas for these figures are ...

    rectangular prism: V = lwh

    cylinder: V = πr^2h

    sphere: V = (4π/3) r^3

    h. As with area, the total volume is the sum of products: volume of each pillow times the number of that type.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “An interior designer is buying fabric to cover throw pillows for a master bedroom. She needs material to cover 6 pillows-3 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
The probability that a wildcat well will be productive is 1/13. Assume that a group is drilling wells in various parts of the country so that the status of one well has no bearing on that of any other.
Answers (1)
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 700 L of a dye solution with a concentration of 1 g/L.
Answers (1)
Miguel earns extra money working two weekends with his dad. He is saving to buy a new bike that costs $140. Heather says that Miguel needs to earn more than $6 for each hour that he works to have enough money to buy the bike. Her work is shown below.
Answers (1)
2/5 = m/70 what is m
Answers (2)
The distance around tim's rectangular book is 48 cm. The length of each longer side is 14 cm? What is length of each shorter side?
Answers (1)
New Questions in Mathematics
If the legs of a right triangle measure 7cm and 24cm whats the hypotenuse?
Answers (1)
If the solution of a polynomial fucntion is x=-5 then the linear factor is (x-5)
Answers (1)
Alberto is stacking firewood. He puts 20 logs on the bottom row. Then he stacks each row so that there is 1 fewer log than the row below. Which of the following is formed by the number of logs in 10 rows? A. an arithmetic series B.
Answers (1)
The angles of a triangle are in the ratio 4:5:6. Find the smallest angle
Answers (2)
Patrick is working for an hourly wage of $15. If he worked for 28 hours last week, what is his gross pay? A. $375 B. $420 C. $450
Answers (1)
Home » Mathematics » An interior designer is buying fabric to cover throw pillows for a master bedroom. She needs material to cover 6 pillows-3 rectangle-shaped, 2 cylinder-shaped, and one sphere-shaped. The rectangles are 18 inches by 12 inches by 2 inches.
Sign Up Forgot Password?