Question
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?Solution
 
  XB = BY = 8 given that Xy2  = 82 + 82 = xy = 8√2 Xz = yz = 8√2 cm Bare area of pyramid (equilateral D0 Whore side is 8√2 = √3 / 4 × (side)2  = √3 / 4 × 8√2 = √3 / 4 × 64 × 2 = 32√3 cm2   ∠ P = 900 BP = 4√2 Height = 4√2 Bp2 +py2 = By2 (PGT Satisfy height for 3 part in 4√2 Area = 3 × ½ × 8√2 × 4√2 = 96 ISA = 96 + 32√3 cm2
 XB = BY = 8 given that Xy2  = 82 + 82 = xy = 8√2 Xz = yz = 8√2 cm Bare area of pyramid (equilateral D0 Whore side is 8√2 = √3 / 4 × (side)2  = √3 / 4 × 8√2 = √3 / 4 × 64 × 2 = 32√3 cm2   ∠ P = 900 BP = 4√2 Height = 4√2 Bp2 +py2 = By2 (PGT Satisfy height for 3 part in 4√2 Area = 3 × ½ × 8√2 × 4√2 = 96 ISA = 96 + 32√3 cm2
- Which company has committed to setting up an automobile hub in one of the smart cities? 
- Which bank signed a MoU with the Software Technology Parks of India for leveraging innovation through the financial technologies engaged under the FinBl... 
- Asset Reconstruction Companies will have to deduct unrealised management fees where the net asset value of security receipts has fallen below _____ of t... 
- Recently France’ s Naval Group and _____extend R&D deal for underwater surveillance, submarine imaging? 
- Which of the following country wins GSMA Government Leadership Award 2023? 
- Where is the Reserve Bank of India headquartered? 
- What is the theme of World Food Day observed on 16 October 2025? 
- Who is the winner of the FIDE Chess World Cup 2023 held in Azerbaijan? 
- How many people will be covered under Andhra Pradesh's skill census initiative with Infosys? 
- Which initiative was launched at COP28 in Dubai to mobilize young people globally for environmental actions?