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Area and Volume Penn Foster Test

Resolved Question:

Questions 1 - 20: Select the best answer to each question.

1. What is the proper name of the quadrilateral below?

A. Parallelogram
B. Triangle
C. Square
D. Rectangle

2. Find the perimeter of the trapezoid below.

A. 10 inches
B. 19 inches
C. 20 inches
D. 24 inches

3. What is the perimeter of a rhombus-shaped highway sign with a 20-centimeter side?

A. 40 centimeters
B. 80 centimeters
C. 400 centimeters
D. 20 centimeters

4. Look at the parallelogram below. are each 35°.
What is the measurement of ?

A. 290°.
B. 70°.
C. 145°.
D. 115°.

5. What is the area of a square television screen with 16-inch sides?

A. 256 square inches
B. 160 square inches
C. 32 square inches
D. 64 square inches

6. Store space in a shopping mall is often rented by the square foot. What is the area of a rectangular jewelry store that is 12 feet wide and 18 feet long?

A. 68 square feet
B. 576 square feet
C. 216 square feet
D. 288 square feet

7. The area of a gymnasium floor is 264 square yards. The floor is 11 yards wide. How long is the floor?

A. 253 yards
B. 24 yards
C. 11 yards
D. 242 yards

8. The area of a square piece of cardboard is 81 square inches. What is the length of the cardboard?

A. 20.25 inches
B. 10 inches
C. 8 inches
D. 9 inches

9. A round barbecue pit is 2 meters in diameter. What is the distance around the barbecue pit?

A. 6.28 meters
B. 3.14 meters
C. 12. 56 meters
D. 18.84 meters

10. The distance from the center of a compact disc to the edge of the disc is 6 centimeters. What is the area of the compact disc?

A. 36 square centimeters
B. 18.84 square centimeters
C. 452.16 square centimeters
D. 113.04 square centimeters

11. The diameter of a round dinner plate is 10 inches. What is the area of the plate?

A. 314 square inches
B. 39.25 square inches
C. 78.5 square inches
D. 39.25 inches

12. An earthquake was felt throughout a circular area of 1,808.64 square miles. What was the radius of the circular area?

A. 24 miles
B. 576 miles
C. 12 miles
D. 20 miles

13. What is the correct name for the triangle below?

A. Isosceles triangle
B. Scalene triangle
C. Right triangle
D. Equilateral triangle

14. What is the area of the triangle below?

A. 96 square meters
B. 48 square meters
C. 7 square meters
D. 24 square meters

15. If a triangle has a height of 14 inches and a base of 9 inches, what is its area?

A. 135 square inches
B. 126 square inches
C. 63 square inches
D. 46 square inches

16. Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will be run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of that diagonal piece of pipe?

A. 120 feet
B. 289 feet
C. 23 feet
D. 17 feet

17. What is the length of missing side b in the figure below?

A.
B.
C.
D.

18. Sheri's freezer is 2 feet wide, 6 feet long, and 2 feet deep. What is the volume of her freezer?

A. 10 cubic feet
B. 12 cubic feet
C. 24 cubic feet
D. 4 cubic feet

19. In the figures below, the cube-shaped box is 6 inches wide and the rectangular box is 10 inches long, 4 inches wide, and 4 inches high. How much greater is the volume of the cube-shaped box than the rectangular box?

A. 60 cubic inches
B. 50 cubic inches
C. 56 cubic inches
D. 66 cubic inches

20. How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?

A. 13,564.8 cubic feet
B. 2,260.8 cubic feet
C. 33,912 cubic feet
D. 54,259.20 cubic feet

Questions 1 - 20: Select the best answer to each question.

1. What is the proper name of the quadrilateral below?

A. Parallelogram B. Triangle C. Square D. Rectangle

2. Find the perimeter of the trapezoid below.

A. 10 inches B. 19 inches C. 20 inches D. 24 inches

3. What is the perimeter of a rhombus-shaped highway sign with a 20-centimeter side?

A. 40 centimeters B. 80 centimeters C. 400 centimeters D. 20 centimeters

4. Look at the parallelogram below. are each 35°. What is the measurement of ?

A. 290°. B. 70°. C. 145°. D. 115°.

5. What is the area of a square television screen with 16-inch sides?

A. 256 square inches B. 160 square inches C. 32 square inches D. 64 square inches

6. Store space in a shopping mall is often rented by the square foot. What is the area of a rectangular jewelry store that is 12 feet wide and 18 feet long?

A. 68 square feet B. 576 square feet C. 216 square feet D. 288 square feet

7. The area of a gymnasium floor is 264 square yards. The floor is 11 yards wide. How long is the floor?

A. 253 yards B. 24 yards C. 11 yards D. 242 yards

8. The area of a square piece of cardboard is 81 square inches. What is the length of the cardboard?

A. 20.25 inches B. 10 inches C. 8 inches D. 9 inches

9. A round barbecue pit is 2 meters in diameter. What is the distance around the barbecue pit? A. 6.28 meters B. 3.14 meters C. 12. 56 meters D. 18.84 meters

10. The distance from the center of a compact disc to the edge of the disc is 6 centimeters. What is the area of the compact disc?

A. 36 square centimeters B. 18.84 square centimeters C. 452.16 square centimeters D. 113.04 square centimeters

11. The diameter of a round dinner plate is 10 inches. What is the area of the plate?

A. 314 square inches B. 39.25 square inches C. 78.5 square inches D. 39.25 inches

12. An earthquake was felt throughout a circular area of 1,808.64 square miles. What was the radius of the circular area?

A. 24 miles B. 576 miles C. 12 miles D. 20 miles

13. What is the correct name for the triangle below?

A. Isosceles triangle B. Scalene triangle C. Right triangle D. Equilateral triangle

14. What is the area of the triangle below?

A. 96 square meters B. 48 square meters C. 7 square meters D. 24 square meters

15. If a triangle has a height of 14 inches and a base of 9 inches, what is its area?

A. 135 square inches B. 126 square inches C. 63 square inches D. 46 square inches

16. Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will be run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of that diagonal piece of pipe?

A. 120 feet B. 289 feet C. 23 feet D. 17 feet

17. What is the length of missing side b in the figure below?

A. B. C. D.

18. Sheri's freezer is 2 feet wide, 6 feet long, and 2 feet deep. What is the volume of her freezer?

A. 10 cubic feet B. 12 cubic feet C. 24 cubic feet D. 4 cubic feet

19. In the figures below, the cube-shaped box is 6 inches wide and the rectangular box is 10 inches long, 4 inches wide, and 4 inches high. How much greater is the volume of the cube-shaped box than the rectangular box?

A. 60 cubic inches B. 50 cubic inches C. 56 cubic inches D. 66 cubic inches

20. How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?

A. 13,564.8 cubic feet B. 2,260.8 cubic feet C. 33,912 cubic feet D. 54,259.20 cu

======================================================= Please include the figures for the unanswered questions 2,4,14,19 and 17

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