SSC CGL 2018 PYQ — Question 47

SSC CGL Tier II Quant - 17/02/2018 • Quantitative Aptitude • Q47

A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X, Y and Z are mid points of the edges of the cube . What is the total surface area (in cm²) of the pyramid ?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 ie 32(3 + √3).

T.S.A = Base triangle area + face triangle area

          = (√3/4) × (8√2)² + 3 × (1/2) × 8 × 8

          = 151.4256

          = 32(3 + √3)