Test 11, Units 8 (8.37-8.44) and 9

Question 1

T or F: Trigonometry is the study of three-dimensional objects

Answer 1

false

Question 2

T or F: Volume is a cubic measure

Answer 2

true

Question 3

T or F: a cube has eight contruent faces

Answer 3

false (it has 6)

Question 4

T or F: the Pythagorean formula is c² = a + b

Answer 4

false

Question 5

the slant height is used to find the volume of a square pyramid

Answer 5

false

Question 6

T or F: the hypotenuse is opposite the right angle in a right triangle

Answer 6

true

Question 7

T or F: one cubic foot is equal to 144 cubic inches

Answer 7

false

Question 8

T or F: the sine of an acute angle is the ratio of the length of the opposite side to the length of the hypotenuse

Answer 8

true

Question 9

T or F: a cylinder is a type of prism

Answer 9

false

Question 10

the tangent of an acute angle is the ratio of the length of the adjacent side to the length of the hypotenuse

Answer 10

false

Question 11

Identify the following shapes:

Answer 11

sphere, rectangular prism, cone, cylinder, pyramid

Question 12

You will answer these using a trigonometric chart:

sin 60^o

cos 25^o

tan 58^o

cos 13^o

tam 42^o

Answer 12

.866

.906

1.600

.974

.900

Question 13

volume of a cube

Answer 13

V = e³

Question 14

volume of a cone

Answer 14

V = 1/3pir²h

Question 15

Pythagorean Rule

Answer 15

c² = a² + b²

Question 16

sine of an angle

Answer 16

length of opposite leg

_________________

length of hypotenuse

Question 17

volume of a square pyramid

Answer 17

V = 1/3lwh

Question 18

cosine of an angle

Answer 18

length of adjacent leg

_________________

length of hypotenuse

Question 19

volume of a rectangular prism

Answer 19

V = lwh

Question 20

tangent of an angle

Answer 20

length of opposite leg

________________

length of adjacent leg

Question 21

volume of a cylinder

Answer 21

V = pir²h

Question 22

Answer about a right triangle with sides of 3 ft & 4 ft.:

the length of the hypotenuse

Answer 22

c² = a² + b²

c² = 9 + 16 = 25

c = 5

Question 23

Answer about a right triangle with sides of 3 ft & 4 ft.:

tangent of angle C =

sine of angle B =

cosine of angle B =

cosine of angle C =

tangent of angle B =

Answer 23

tangent of angle C = 3/4 = .750

sine of angle B = 4/5 = .800

cosine of angle B = 3/5 = .600

cosine of angle C = 4/5 = .800

tangent of angle B = 4/3 = 1.333

Question 24

find the surface area of a cylinder that has a radius of 4 inches and a height of 18 inches.

Answer 24

SA = 2pirh + 2pir²

SA = 2(3.14)(4)(18) + 2(3.14)(4²)

SA = 452.16 + 100.48

SA = 552.64 sq. in.

Question 25

find the volume of a cone that has a 2 inch radius and a height of 6 inches

Answer 25

V = 1/3pir²h V = 1/3(3.14)(2²)(6) V = 25.12 cu. in.

Question 26

find the volume of a cylinder if the radius is 5 in. and height is 20 in.

Answer 26

V = pir²h V = 3.14(5²)(20) V = 1570 cu. in.

Question 27

find the volume of a square pyramid that has a 15 ft. square base and a height of 9 ft.

Answer 27

V = 1/3lwh V = 1/3(15)(15)(9) V = 675 cu. ft.

Question 28

find the volume of a rectangular prism that is 20 ft x 10 ft x 5 ft

Answer 28

V = lwh V = 20(10)(5) V = 1000 cu. ft.

Question 29

find the volume of a cone that has a 6 in. radius and a height of 15 in.

Answer 29

V = 1/3pir²h V = 1/3(3.14)(6²)(15) V = 565.2 cu. in.

Question 30

find the volume of a square pyramid that has a 10 in. square base and a height of 21 in.

Answer 30

V = 1/3lwh V = 1/3(10)(10)(21) V = 700 cu. in.

Question 31

find the volume of acube wih 10 in edges

Answer 31

V = e³ V = 10³ V = 1000 cu. in.

Question 32

find the volume of a rectangular prism that is 14 ft x 9 ft x 10 ft

Answer 32

V = lwh V = 14(9)(10) V = 1260 cu. ft.

Question 33

find the volume of a cylinder if the radius is 1 ft. and the height is 4 ft.

Answer 33

V = pir²h V = 3.14(1²)(4) V = 12.56 cu. ft.