Mathematics for Liberal Arts

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midreview.docx

Volume:

· Vprism = Bh

· Vcylinder = πr2h

· Vcone = 1⁄3πr2h

· Vsphere = 4⁄3πr3

· Vpyramid = 1⁄3Bh

Surface Area

· SAcylinder = 2πrh + 2πr2

· SAcone = πr2 + πr√r2 + h2

· SAsphere = 4πr2

Question 1 (1 point)

 

What is the best description of the following shape?

Shape with 4 right angles.  Width does not equal height

Question 1 options:

trapezoid

square

parallelogram

rectangle

rhombus

Question 2 (1 point)

 

What is the best description of the following shape?

4 sided polygon with the top and bottom being parallel.  Left and right sides are not parallel

Question 2 options:

square

rectangle

rhombus

parallelogram

trapezoid

Question 3 (1 point)

 

What is the perimeter of the shape below, given a = 5.94, b = 10.22, c = 13.92, d = 11.73, e = 12.00

Pentago with sides labeled "a" through "e"

image not to scale; do not round

Your Answer:

Question 3 options:

Answer

Question 4 (1 point)

 

What is the perimeter of the shape below, given a = 5.22, b = 5.10, c = 6.21, d = 7.27, e = 5.74, f = 8.42, g = 13.81, h = 9.88

Octagon with sides labeled "a" through "h"

image not to scale; do not round

Your Answer:

Question 4 options:

Answer

What is the perimeter of the shape below, given a = 14.70, b = 5.57, c = 14.14, d = 11.34

quadrilateral with sides labeled "a" through "d"

image not to scale; do not round

Your Answer:

Question 5 options:

Answer

Question 6 (1 point)

 

What is the perimeter of the shape below, given a = 6.72, b = 5.06, c = 12.43

Triangle with sides labeled "a", "b", and "c"

image not to scale; do not round

Your Answer:

Question 6 options:

Answer

Question 7 (1 point)

 

What is the area of a rectangle with length of 12.10 and height of 15.51?

(Round to 2 decimal places as needed)

Your Answer:

Question 7 options:

Answer

Question 8 (1 point)

 

What is the area of a circle with a diameter of 12.02?  Use π = 3.14 if appropriate.

(round to two decimal places as needed)

Your Answer:

Question 8 options:

Answer

Question 9 (1 point)

 

What is the circumference of a circle whose diameter is 11.93.

Use π = 3.14 as needed. Round to two decimal places as needed.

Your Answer:

Question 9 options:

Answer

Question 10 (1 point)

 

What is the area of the shape below, given: a = 14.00 and b = 12.65.

Complex shape consisting of a rectangle with height of "a" and width of "b", and half a circle with diameter of "b"

Use π = 3.14 as needed. Round to two decimal places.

Your Answer:

Question 10 options:

Answer

Question 11 (1 point)

 

What is the surface area of a right circular cylinder whose base's diameter is 18.87, and height is 17.42?

Use π = 3.14 as needed. Round to two decimal places as needed.

Your Answer:

Question 11 options:

Answer

Question 12 (1 point)

 

What is the surface area of a right circular cylinder whose base's radius is 19.12, and height is 15.47?

Use π = 3.14 as needed. Round to two decimal places as needed.

Your Answer:

Question 12 options:

Answer

Question 13 (1 point)

 

What is the volume of a sphere whose radius is 18.31?

Use π = 3.14 as needed. Round to two decimal places as needed. 

Your Answer:

Question 13 options:

Answer

Question 14 (1 point)

 

What is the volume of a right circular cylinder with its base's radius of 16.15 and height of 10.99?

Use π = 3.14 as needed. Round to two decimal places as needed.

Your Answer:

Question 14 options:

Answer

Question 15 (1 point)

 

What is the volume of a right circular cylinder with its base's diameter of 16.69 and height of 16.70?

Use π = 3.14 as needed. Round to two decimal places as needed.

Your Answer:

Question 15 options:

Answer

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