Test 11, Units 13-14 Flashcards Preview

7th math > Test 11, Units 13-14 > Flashcards

Flashcards in Test 11, Units 13-14 Deck (35):
1


a box with all the sides the same length


cube

2


the shape of the pyramids in Egypt


square pyramid

3


the shape of a drinking glass with straight sides


cylinder

4


the shape of a ball


sphere

5


the shape of the thing you can eat that holds your ice cream.  It is pointed at the end.


cone

6


volume of a rectangular solid


V = lwh

7


Pythagorean rule


c2 = a2 + b2

8


surface area of a cube


SA = 6e2

9


volume of a cube


V = e3

10


volume of a square pyramid


V = 1/3lwh

11


volume of a cylinder


V = pir2h

12


area of a circle


A = pir2

13


area of a rectangle


A = lw

14


volume of a cone


V = 1/3pir2h

15


Find the volume of a cube - e = 5 cm


V = e3

V = 5 x 5 x 5

V = 125 cm3

16


Find the volume of a rectangular solid - l = 9 ft.; w = 8 ft.; h = 7 ft.


V = lwh

V = 9 x 8 x 7

V = 504 cu. ft.

17


Find the volume of a cylinder - r = 3 cm; h = 5 cm


V = pir2h

V = 3.14 x 9 x 5

V = 141.3 cm3

18


Find the volume of a square pyramid - l = 10 cm; w = 10 cm; h = 9 cm


V = 1/3lwh

V = 1/3(10 x 10 x 9)

V = 1/3 x 900

V = 300 cm3

19


Find the volume of cone - r = 5 in; h = 3 in.


V = 1/3pir2h

V = 1/3 (3.14 x 25 x 3)

V = 1/3 (235.5)

V = 78.5 cu. in.

20


find the volume of a rectangular solid - l = 4.5 ft.; w = 3 ft.; h = 2.5 ft.


V = lwh

V = 4.5 x 3 x 2.5

V = 33.75 cu. ft.

21


volume of a cube - e = 12 yd.


V = e3

V = 12 x 12 x 12

V = 1728 cu. yd.

22


Find the surface area of a cube - e = 3 cm


SA = 6e2

SA = 6 x 9

SA = 54 cm2

23


Find the surface area of a square pyramid --

b = 4ft.; h = 3 ft.

SA = 4 (1/2bh) + b2

SA = 4(1/2 x 4 x 3) + 16

SA = 4(6) + 16

SA = 24 + 16

SA = 40 sq. ft.

24


Find the length of the hypotenuse if

leg a = 4 m & leg b = 3 m

c2 = a2 + b2

c2 = 16 + 9

c2 = 25

c = 5 m

25


find the sine of angle A if the opposite leg is 4 m, the hypotenuse is 5 m, & the adjacent leg is 3 m.


sin = opposite/hypo

sin = 4/5

sin = .800

26

find the cosine of angle A if the opposite leg is 4 m, the hypotenuse is 5 m, & the adjacent leg is 3 m.

cos = adjacent/hypotenuse

cos = 3/5

cos = .600

27


find the tangent of angle A if the opposite leg is 4 m, the hypotenuse is 5 m, & the adjacent leg is 3 m.

tan = opposite/adjacent

tan = 4/3

tan = 1.333

28


Use a trigonometric ratio table to find the sine, cosine & tangent of a 45 degree angle.

sin = .707

cos = .707

tan = 1.000

29


Use a trigonometric ratio table to find the sine, cosine & tangent of a 36 degree angle.

sin = .588

cos = .809

tan = .727

30


Use a trigonometric ratio table to find the sine, cosine & tangent of a 87 degree angle.

sin = .999

cos = .052

tan = 19.081

31


Use a trigonometric ratio table to find the sine, cosine & tangent of a 12 degree angle.

sin = .208

cos = .978

tan = .213

32


Use a trigonometric ratio table to find the sine, cosine & tangent of a 25 degree angle.

sin = .423

cos = .906

tan = .466

33


Find the volume of a storage room that is 8 ft long, 6 ft wide, and 10 ft high.  The room is in the shape of a rectangular solid.


V = lwh

V = 8 x 6 x 10

V = 480 cu. ft.

34


A cube has an edge that is 8 cm.  Find its surface area & volume.


SA = 6e2

SA = 6 x 64

SA = 384 cm2

V = e3

V = 8 x 8 x 8

V = 512 cm3

35