A pyramid with an equilateral triangular base of side 10 cm and height 14 cm is placed on top of a cube with side length 10 cm. Find the total volume of the composite solid.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 1202.07 cm3.
Volume of cube = 103 = 1000 cm3
The base of the pyramid is an equilateral triangle of side 10 cm
Area of base = × 102 = 25√3 cm2
Volume of pyramid = × 25√3 × 14 = 202.07 cm3
Total volume = 1000 + 202.07 = 1202.07 cm3