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

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.

two data sets with the same median will not have the same varaibility

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: