write the ratio:

sine

s = o/h

tangent

t = o/a

cosine

c = a/h

Pythagorean rule

c^{2} = a^{2} + b^{2}

volume of a cube

V = e^{3}

surface area of a rectangular solid

SA = 2lw + 2wh + 2lh

volume of a square pyramid

V = 1/3lwh

volume of a cone

V = 1/3pir^{2}h

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

Use the Pythagorean rule:

c^{2} = a^{2} + b^{2}

c^{2} = 3^{2} + 4^{2}

c^{2} = 9 + 16

c^{2} = 25

c = 5 m

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

c^{2} = a^{2} + b^{2}

100 = 36 + b^{2}

64 = b^{2}

8 = b

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

V = lwh

V = 7 x 6 x 5

V = 210 cu. ft.

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

SA = 6e^{2}

SA = 6 x 4^{2}

SA = 6 x 16

SA = 96 sq. in.