Maths-
General
Easy
Question
The square on the diagonal of a cube has an area of 192 cm2. Find the T.S.A of the cube.
- 324
- 484
- 344
- 384
Hint:
Diagonal of cube = 
Total Surface Area(TSA) of cube = 6a2
where, a is side of cube
The correct answer is: 384
Given: Side of the cube = s
Length of diagonal on one face of cube = l
Length of diagonal of the cube = z
We know that,
Given z²=192 cm²
Squaring the equation of Z on both sides we get,
192 = s²×3
s² =192/3
s2 = 64
s = 8 cm
Total surface area of cube = 6s²
TSA = 6×8² = 6×64 = 384 cm²
Hence side of given cube = S = 8 cm
and Total surface area of cube =TSA= 384 cm²
Therefore, the correct option is d) 384.
Given z²=192 cm²
Squaring the equation of Z on both sides we get,
192 = s²×3
s² =192/3
Total surface area of cube = 6s²
TSA = 6×8² = 6×64 = 384 cm²
Hence side of given cube = S = 8 cm
and Total surface area of cube =TSA= 384 cm²
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