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

Question

Mathematics

Jordon Walters

12 November, 17:11

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

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Answers (1)

Know the Answer?

Cierra Figueroa · Answer 1

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

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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.