Neil Bryan C. Hernandez ECE 5101

Solid Mensuration

1. The radius of a sphere is 5 feet. Find the area of the great circle of this sphere.

a. 5

b. 25

c.125

d. 625

2. A cylinder and a cone each have a radius of 3 in. and a height of 8 in. What is the ratio of the

volume of the cone to the volume of the cylinder?

a. Vcone : Vcylinder = 1 : 2

b. Vcone : Vcylinder = 1 : 3

c. Vcone : Vcylinder = 1 :

d. Vcone : Vcylinder = 1 : 1

3. Find the volume of a prism whose base is an equilateral triangle with a side of 4 and whose length is 6.

a. 24

b. 63

c.24

d. 48

4. The surface area of a regular square pyramid is = + 1 where B is the area of the base, p is

2

the perimeter of the base and s is the slant height. If the base is a square with a side length of 10

and the slant height is 15, find the surface area of the pyramid.

a.

85

b.

220

c.

310

d.

400

5. Which of the following formulas will find the surface area of a cylinder with one open end and one closed end?

a. SA = 2rh + 2r2

b. SA = 2rh + r2

c. SA = 2rh - r2

d. SA = 2rh

6. Which platonic solid will be created when the net shown at the right is assembled?

a. Tetrahedron

b. Cube

c.Octahedron

d. dodecahedron

7. Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of soda are contained in a full can? (Round answer to the nearest tenth of a cubic inch.)?

a.

12.0

b.

18.8

c.

24.0

d.

75.4

8. Find the volume, to the nearest cubic inch, of a cone whose radius is 12 inches and whose height is 15 inches.

a.

2827

b.

2262

c.

565

d.

188

9. Top soil is sold by the cubic yard. To the nearest cubic yard, how much top soil is needed to create a flower bed with soil 4 feet wide by 25 feet long by 6 inches deep?

a.

50

b.

27

c.

6

d.

2

10. How many sides does a polygon have if the sum of its interior angles is 720?

a.

5

b.

6

c.

7

d.

8

11. Find the number of degrees in each interior angle of a dodecagon? a. 135

b. 144

c.150

d. Cannot be determined

12. Find the sum of the exterior angles of a 15 sided polygon.

a.

2340

b.

360

c.

156

d.

24

13. If two planes are perpendicular to the same line,

a. They are perpendicular.

b. They are parallel.

c. They intersect but are not perpendicular.

d. None of the above.

14. What is a polygon called if the sum of its interior angles equals 1440?

a. Hexagon

b. Octagon

c.Decagon

d. Dodecagon

15. Each interior angle of a regular polygon measures 162. How many sides does the polygon have?

a.

20

b.

18

c.

16

d.

Cannot be determined

16. When assembled, the net shown at the right will create a:

a. Cube

b. Cylinder

c. Cone

d. Prism

17. Find the volume of a hemisphere whose radius is 10 feet. Round answer to the nearest cubic foot.

a.

419

b.

1047

c.

2094

d.

4189

18. How many sides in a cube?

a.

4

b.

6

c.

9

d.

12

19. Find the measure of each exterior angle of a regular hexagon. a.90

b. 72

c.60

d. 45

20. Regarding the diagram at the right, which of the following statements is TRUE?

a. Planes l and q are parallel planes.

b. Planes l and q intersect in line DE.

c.Point P is in plane l.

d. None of the statements are true.

21. The legs of a right triangle measure 8 and 15. If a leg and hypotenuse of another right triangle are 8 and 17 respectively, these two right triangles are congruent.

a. TRUE

b. FALSE

22. In triangle ABC,