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MTH 214 Week 4 Study Plan

This assignment allows you to obtain the necessary practice to fully comprehend the weekly learning objectives, and prepare you to be successful on the weekly checkpoint and final.

Complete the MyMathLab® Study Plan for this week’s Checkpoint.

1. Click the Practice/Simulation/Homework/Game tab.
2. Click External Content Launch to access MyMathLab®.
3. Click Homework and Tests in MyMathLab® on the top left corner of the screen.
4. Click Study Plan for the weekly Checkpoint.
5. Click the green Practice button next to the first unmastered objective.
6. Complete the practice problems until you feel ready to take a quiz.
7. Click the Close button. Return to the Study Plan for the weekly Checkpoint.
8. Click the Quiz Me button.
9. Correctly answer the questions to earn the Mastery Point. There may be 2 or 3 questions per Quiz Me.

   1. If you do not correctly answer the questions in the Quiz Me, you must return to Practice and successfully complete at least 1 practice problem before you can retake the Quiz Me.
   2. You can follow this process and attempt each Quiz Me as often as necessary.

10. After earning the Mastery Point for the first objective, continue working in the Study Plan using the same process described above until you have earned all Mastery Points for the week.

Complete each of the following conversions.

a. 3737 mequals=___ cm

b. 353353 mmequals=___ m

c. 614614 mmequals=___ cm

d. 0.70.7 cmequals=___ mm

a. 3737 mequals=

37003700 cm (Type an integer or a decimal.)

b. 353353 mmequals=

0.3530.353 m (Type an integer or a decimal.)

c. 614614 mmequals=

61.461.4 cm (Type an integer or a decimal.)

d. 0.70.7 cmequals=

77 mm (Type an integer or a decimal.)

Freezer A measures 2 ft times 2 ft times 4 ft2 ft×2 ft×4 ft and sells for $ 300$300. Freezer B measures 2.5 ft times 2.5 ft times 3 ft2.5 ft×2.5 ft×3 ft and sells for $ 300$300. Which freezer is a better buy in terms of dollars per cubic foot?

Choose the freezer that is the better buy.

Freezer Upper AFreezer A

Freezer Upper B

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Find the area of the following figures.

a.

b.

A quadrilateral is made up of a smaller quadrilateral and an adjacent right triangle. The base of the quadrilateral is made up of one leg of the triangle and one side of the smaller quadrilateral. The length of the base is 20 centimeters. The remaining sides of the smaller quadrilateral are as follows starting clockwise from the side along the base of the main quadrilateral: 6 centimeters, 14 centimeters, 10 centimeters. The sides measuring 14 centimeters and 10 centimeters meet at a right angle. The side measuring 6 centimeters is the second leg of the triangle.

14 cm

20 cm

10 cm

6 cm

A triangle has a base of length 16 meters. The base of the triangle forms an obtuse angle with a side of length 42 meters. The triangle has a height of 38 meters.

38 m38 m

42 m42 m

16 m16 m

a. The area is

130130 cmsquared2. (Simplify your answer.)

b. The area is

304304 msquared2. (Simplify your answer.)

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How does the radius of a circle change if the circumference is doubled?

Choose the correct answer below.

A.

The radius remains the same.

B.

The radius gets multiplied by 2piπ.

C.

The radius gets multiplied by piπ.

D.

The radius gets smaller.

E.

The radius increases by 2piπ.

F.

The radius is halved.

G.

The radius is doubled.

A rectangular plot of land is to be seeded with grass. If the plot is 2525 m times ×3131 m and a 1 kg bag of seed is needed for 8484 msquared2 of land, how many bags of seed are needed?

The number of bags of seed needed is

1010. (Round up to the nearest bag.)

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How is this sixth grade common core type question different from a traditional sixth grade measurement question?

Choose the correct answer below.

A.

Students must follow the equation for finding area of a trapezoid.

B.

This question makes students explain the formula for area.

C.

Students must find the area of trapezoids and other shapes.

D.

This question incorporates multiple areas of mathematics.

A rectangular field is 6464 m times ×44 m. A person wants to fence a square field that has the same area as the rectangular field. How long are the sides of the square field?

Each side of the square field is

1616 m long. (Simplify your answer.)

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Assuming that the segment ____ is 1 cm in length, estimate the length of the following segment.

________________

Express the answer in each of the following units.

a. Centimeters

b. Millimeters

a. Estimate the length and express the answer in centimeters. Choose the correct answer below.

A.

40 cm

B.

4 cm

Your answer is correct.C.

0.3 cm

D.

12 cm

b. Now express the answer in millimeters. Choose the correct answer below.

A.

300 mm

B.

400 mm

C.

4 mm

D.

0.4 mm

E.

3 mm

F.

40 mm

Your answer is correct.G.

120 mm

H.

1.2 mm

a. Find the volume of the right rectangular prism to the right.

The volume is

5656

cm cubed .cm3.

(Simplify your answer.)

A right rectangular prism has a length of 7 centimeters, a width of 4 centimeters, and a height of 2 centimeters.

4 cm

7 cm

2 cm

b. Find the volume of the right square pyramid to the right.

The volume is

StartFraction 343 Over 3 EndFraction

343

3

cm cubed .cm3.

(Type an integer or a fraction.)

A right square pyramid has side lengths of 7 centimeters, and a height of 7 centimeters.

7 cm

7 cm

7 cm

c. Find the volume of the right circular cylinder to the right.

The volume is

648 pi648π

cm cubed .cm3.

(Type an exact answer in terms of piπ.)

A right circular cylinder has a radius of 9 centimeters, and a height of 8 centimeters.

9 cm

8 cm

d. Find the volume of the shape to the right.

The volume is

2249622496

ft cubed .ft3.

(Simplify your answer.)

A right triangular prism is on top of a right rectangular prism such that they share a rectagular base. The rectangular prism has a length of 37 feet, a width of 32 feet, and a height of 16 feet. The triangular prism has a height of 6 feet and a slant height of 14 feet.

14 ft

6 ft

32 ft

37 ft

16 ft

e. Find the volume of the shape to the right.

The volume is

108992108992

ft cubed .ft3.

(Simplify your answer.)

A right rectangular prism has a length of 64 feet, a width of 50 feet, and a height of 28 feet. A right trapezoidal prism is constructed on top of the rectangular prism such that they share a rectangular base. The height of the trapezoid is 9 feet and the top horizontal base of the trapezoid is labeled 12 feet. The length of the trapezoidal prism is 64 feet. A triangular prism is constructed on top of the trapezoidal prism such that they share a rectangular base. The height of the triangular prism is 4 feet. The length of the triangular prism is 64 feet.

50 ft

28 ft

64 ft

12 ft

9 ft

4 ft

How many gallons of paint are needed to paint the walls of a rectangular prism-shaped room that is 1717 ft by 1313 ft and 8 ft high if 1 gallon of paint covers 4040 sq ft? Assume there are no doors or windows.

The amount of paint needed is

1212 gallons.

(Type a whole number.)

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This fourth grade common core type question requires students to have knowledge in multiple mathematics areas. What mathematical areas do student need to understand in order to correctly answer this question?

Choose the correct answer below.

A.

Perimeter, quadrilaterals and their properties, difference

Perimeter, properties of squares, and rectangles

C.

Area

D.

How to find the perimeter and area of quadrilaterals

List the following in decreasing order.

88 m, 52955295 cm, 252252 cm, 8585 m, 44 m, 921921 mm

85 m

,

5295 cm

,

8 m

,

4 m

,

252 cm

,

921 mm

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How does this eighth grade common core type question challenge a student’s understanding of triangles?

Choose the correct answer below.

A.

Students must be able to apply the Pythagorean Theorem with limited information.

Students must determine the side lengths of all of the shapes and then find the area of the triangle.

C.

Students must be able to find the area and perimeter of the squares before determining lengths of the triangle sides.

D.

Students must solve the Pythagorean Theorem using a two-dimensional shape.

A spotlight is mounted on the eaves of a house 1515 feet above the ground. A flower bed runs between the house and the sidewalk, so the closest the ladder can be placed to the house is 88 feet. How long a ladder is needed so that an electrician can reach the place where the light is mounted?

The length of the ladder needs to be

1717 ft.

Complete the following.

180180 ydydequals=___ ftft

180180 ydydequals=

540540 ftft

(Type an integer or a simplified fraction.)