Test 11, Units 13-14

Question 1

a box with all the sides the same length

Answer 1

cube

Question 2

the shape of the pyramids in Egypt

Answer 2

square pyramid

Question 3

the shape of a drinking glass with straight sides

Answer 3

cylinder

Question 4

the shape of a ball

Answer 4

sphere

Question 5

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

Answer 5

cone

Question 6

volume of a rectangular solid

Answer 6

V = lwh

Question 7

Pythagorean rule

Answer 7

c² = a² + b²

Question 8

surface area of a cube

Answer 8

SA = 6e²

Question 9

volume of a cube

Answer 9

V = e³

Question 10

volume of a square pyramid

Answer 10

V = 1/3lwh

Question 11

volume of a cylinder

Answer 11

V = pir²h

Question 12

area of a circle

Answer 12

A = pir²

Question 13

area of a rectangle

Answer 13

A = lw

Question 14

volume of a cone

Answer 14

V = 1/3pir²h

Question 15

Find the volume of a cube - e = 5 cm

Answer 15

V = e³

V = 5 x 5 x 5

V = 125 cm³

Question 16

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

Answer 16

V = lwh

V = 9 x 8 x 7

V = 504 cu. ft.

Question 17

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

Answer 17

V = pir²h

V = 3.14 x 9 x 5

V = 141.3 cm³

Question 18

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

Answer 18

V = 1/3lwh

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

V = 1/3 x 900

V = 300 cm³

Question 19

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

Answer 19

V = 1/3pir²h

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

V = 1/3 (235.5)

V = 78.5 cu. in.

Question 20

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

Answer 20

V = lwh

V = 4.5 x 3 x 2.5

V = 33.75 cu. ft.

Question 21

volume of a cube - e = 12 yd.

Answer 21

V = e³

V = 12 x 12 x 12

V = 1728 cu. yd.

Question 22

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

Answer 22

SA = 6e²

SA = 6 x 9

SA = 54 cm²

Question 23

Find the surface area of a square pyramid –

b = 4ft.; h = 3 ft.

Answer 23

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.

Question 24

Find the length of the hypotenuse if

leg a = 4 m & leg b = 3 m

Answer 24

c² = a² + b²

c² = 16 + 9

c² = 25

c = 5 m

Question 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.

Answer 25

sin = opposite/hypo

sin = 4/5

sin = .800

Question 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.

Answer 26

cos = adjacent/hypotenuse

cos = 3/5

cos = .600

Question 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.

Answer 27

tan = opposite/adjacent

tan = 4/3

tan = 1.333

Question 28

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

Answer 28

sin = .707

cos = .707

tan = 1.000

Question 29

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

Answer 29

sin = .588

cos = .809

tan = .727

Question 30

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

Answer 30

sin = .999

cos = .052

tan = 19.081

Question 31

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

Answer 31

sin = .208

cos = .978

tan = .213

Question 32

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

Answer 32

sin = .423

cos = .906

tan = .466

Question 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.

Answer 33

V = lwh

V = 8 x 6 x 10

V = 480 cu. ft.

Question 34

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

Answer 34

SA = 6e²

SA = 6 x 64

SA = 384 cm²

V = e³

V = 8 x 8 x 8

V = 512 cm³