Quiz 30, Units 13-14

Question 1

write the ratio:

sine

Answer 1

s = o/h

Question 2

tangent

Answer 2

t = o/a

Question 3

cosine

Answer 3

c = a/h

Question 4

Pythagorean rule

Answer 4

c² = a² + b²

Question 5

volume of a cube

Answer 5

V = e³

Question 6

surface area of a rectangular solid

Answer 6

SA = 2lw + 2wh + 2lh

Question 7

volume of a square pyramid

Answer 7

V = 1/3lwh

Question 8

volume of a cone

Answer 8

V = 1/3pir²h

Question 9

Find the length of the hypotenuse if the legs are 3 m & 4 m.

Answer 9

Use the Pythagorean rule:

c² = a² + b²

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = 5 m

Question 10

Find the length of one leg if the hypotenuse is 10 m and the other leg is 6 m.

Answer 10

c² = a² + b²

100 = 36 + b²

64 = b²

8 = b

Question 11

Find the volume of a rectangular solid that is 7 ft. long, 6 ft. wide, and 5 ft. high.

Answer 11

V = lwh

V = 7 x 6 x 5

V = 210 cu. ft.

Question 12

Find the surface area of a cube that is 4 in. on each edge.

Answer 12

SA = 6e²

SA = 6 x 4²

SA = 6 x 16

SA = 96 sq. in.