Mathematics for Liberal Arts

profileNina2022
mfg2.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 name of the category of polygons that has 7 sides.

Question 1 options:

1) 

Triangle

2) 

pentagon

3) 

hexagon

4) 

octagon

5) 

Quadrilateral

6) 

heptagon

Question 2 (1 point)

 

What is the name for the group of quadrilaterals for whom all four angles are 90° (and no other restrictions)?

Question 2 options:

1) 

rectangle

2) 

trapezoid

3) 

rhombus

4) 

square

5) 

parallelogram

Question 3 (1 point)

 

What is the perimeter of the shape below, given a = 5.85, b = 6.82, c = 8.34, d = 5.88, e = 6.65, f = 8.13, g = 9.65

epagon with sides labeled "a" through "g"

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 = 10.39, b = 10.42, c = 7.23, d = 4.57

Hexagon made of overlapping rectangles at right angle.  Horizontal rectangle's height labeled 'a', and shorter length (cut short by the vertical rectangle) labeled 'b'. Vertical rectangle's shorter height labeled 'c' and width labeled 'd'.

image not to scale; do not round

Your Answer:

Question 4 options:

Answer

Question 5 (1 point)

 

What is the perimeter of the shape below, given a = 4.91, b = 1.39, c = 3.59

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

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 = 9.66, b = 9.91, c = 6.34, d = 6.14, e = 6.47, f = 6.15, g = 8.10, h = 1.46

Octagon with sides labeled "a" through "h"

image not to scale; do not round

Your Answer:

Question 6 options:

Answer

Question 7 (1 point)

 

What is the area of a triangle with a base length of 22.8 and an altitude of 19.0?

(round to 2 decimal places as needed)

Your Answer:

Question 7 options:

Answer

Question 8 (1 point)

 

What is the area of a rectangle with length of 8.9 and height of 22.9?

(Round to 2 decimal places as needed)

Your Answer:

Question 8 options:

Answer

Question 9 (1 point)

 

What is the circumference of a circle whose diameter is 13.5.

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

Your Answer:

Question 9 options:

Answer

Given a square with side length of 15.7, what is its area? 

(round to 2 decimal places as needed)

Your Answer:

Question 10 options:

Answer

Question 11 (1 point)

 

What is the surface area of a right circular cylinder whose base's radius is 15.6, and height is 17.8?

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 sphere whose radius is 14.8?

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 rectangular solid (also called a right rectangular prism) with height of 13.6, width of 11.8, and depth of 12.2

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 sphere whose diameter is 18.9?

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 radius of 14.0 and height of 16.4?

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

Your Answer:

Question 15 options:

Answer

image2.gif

image3.wmf

image4.gif

image5.gif

image6.gif

image1.wmf