Question
A wooden box measures 20cm by 12cm by 10cm. Thickness of
wood is 1 cm. volume of wood to make the box is.ÂSolution
l=20, b=12, h=10, and x =1 Volume of hollow cuboid = l× b× h –(l-2x) (b-2x) (h-2x)   --where, x is the thickness of walls of the cuboid = 20×12×10 – (20-2) (12-2) (10-2) =2400-18×10×8 =2400-1440= 960cm3
The nth term of a sequence is n² + 3n + 1. Find the difference between the 20th and 10th terms.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 27x² - 114x + 99 = 0
Equation 2: 18y² - 70y + 68 = 0
I. 15b2 + 26b + 8 = 0
II. 20a2 + 7a - 6 = 0
Equation 1: x² + 16x + 63 = 0
Equation 2: y² + 10y + 21 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I: 3x² - 18x + 24 = 0
II: 5y² + 10y - 15 = 0
I. x² - 208 = 233
II. y² + 47 - 371 = 0
Find the value of 'x' and 'y' in the following equation:
8x - 3y = 58
5x + 2y = 106
I. x² - 33x + 270 = 0
II. y² - 41y + 414 = 0
I. p2 +7p + 10 = 0 II. q2 - q – 6 = 0
Relevant for Exams:
