The total surface area of the walls of a room 7m long, 5m wide and xm high is 96m2. Find the value of x
A
\(\frac{2}{3}\)
B
2
C
4
D
8
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Area of lengthwise 2 walls = \(2( L\times H ) = 2 \times 7 \times x = 14xcm^2\)
Area of breadthwise 2 walls = \(2( B \times H) = 2 \times 5 \times x = 10xcm^2\)
T.S.A of the room( walls only) = \(14xcm^2 + 10xcm^2 = 96cm^2\)
x = \(\frac{ 96}{14} = 4cm^2\)
Source: Myschool Past Questions Archive (Record #26704)