Question

Given a cuboid with base having area 4x2 + 4x – 3 and volume of cuboid is given by 8x3 + 36x2 + 22 x – 21. On the basis of this information answer the following question: i) length and breadth of base are: a) (2x – 3) and (2x +1) b) (2x +3) and (2x – 1) c) (2x + 3) and (2x +1) d) (2x -3) and (2x – 1) ii) Perimeter of base is: a) 8x + 4 b) 4x + 2 c) 4x + 4 d) 8x - 4 iii) The third side will be: a) 2x - 5 b) 2x + 5 c) 2x - 7 d) 2x + 7 iv) Sum of all three sides is: a) 6x + 9 b) 6x - 9 c) 6x + 5 d) 6x + 3 v) What is lateral surface area of cuboid: a) 16x2 – 60 x + 28 b) 16x2 + 60 x + 28 c) 60x2 + 16 x + 28 d) 60x2 + 28x +16​

Answer 1

i) length and breadth of base are :

• a) (2x – 3) and (2x + 1)

ii) Perimeter of base is :

• b) 4x + 2

iii) The third side will be :

• a) 2x - 5

iv) Sum of all three sides is :

• b) 6x - 9

v) What is lateral surface area of cuboid :

• a) (16 x 2) – 60x + 28