1.6 TRANSPOSITION OF FORMULA

1|Page
UNIT 1: ARITHMETIC AND ALGEBRA
1.6 TRANSPOSITION OF FORMULA

A) Change the subject as indicated in the following formulas.

a) A = l × b, make b as subject (b) 6p = 7m + 1, make m as subject

(c) V = πr² h, make r as subject d) ax + y = z; make x as subject

(e) e = t , make k as subject (f) C = 2πr (h + r), make h as subject
5k

(g) s = n (a + l) , make a as subject (h) m= 3(2h+k), make h as subject
2

(l) 5p − 4m = 2 , make p as subject (j) m = 3n – 4k; make n as subject
3

nku NUM 1012 : MATHEMATICS B

1|Page
B. Change the subject of the formula and find the value of the new subject.
1) = 1 2ℎ, make the subject r. V is the volume of cone of height h. V = 2310 cm²,

3

h = 15 cm  = 22 .
7

2) C = 5 (F − 32) . C denotes Centigrade or Celsius scale and F the Fahrenheit scale.
9

Make F the subject of the formula. Find F when C = 37°.

3) S = 1 (a + b + c) where a, b, c are the 3 sides of the triangle whose semi-
2

perimeter is S. S = 48 cm, a = 14, b = 18. Make c as the subject and find c.

4) The surface area of cube is given by the formula S = 6 2.
a) Change as the subject of formula.
b) Hence, calculate the value of if given S = 54cm2.

nku

2|Page
5) The volume of a cylinder is given by the formula V = πr2h , where is the radius, and
is the height. Find the height if the volume is 8550 m3 and the radius is 15.0 m.
v2
6) P watts of an electrical circuit is given by the formula P = R . Find the power when V is
14.8 volts and R is 19.5 ohms.
7) Distance is given by s = ut + 1 at2 . Given that s = 500, t = 4, a = - 5, find u.
2

nku