The Length of the Longest Pole that Can Be Kept in a Room (12 M × 9 M ×8 M) is - Mathematics

MCQ

The length of the longest pole that can be kept in a room (12 m × 9 m ×8 m) is

• 144 cm2

•  216 cm2

• 180 cm2

• 108 cm2

Solution

216 cm2

Let the edge of the cube be a cm.
Then, length of the diagonal =sqrt(3"a")

or,

sqrt(3"a") = 6sqrt(3)

⇒ a = 6 cm

Therefore, the total surface area of the cube = 6a2

= (6xx6xx6) "cm"^3

= 216 cm3

Therefore, the total surface area of the cube = 6a2

= (6 × 6 × 6 ) cm

= 216 cm

Is there an error in this question or solution?

APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 35 | Page 921