Question

The pyramid in Figure 3 is composed of a square base of area $12$ and four equilateral triangles. Calculate the volume of the pyramid.

• A. 9.8
• B. 14.7
• C. 17
• D. 19.6
• E. 29.4

Answer 1

Answer: (D)

19.6

Given, a square base pyramid whose base area $12$ and four equilateral triangle.

Then base area of square $=12$

Then the length of square $=$ $\sqrt{12}$

Then the silent height of pyramid $=$ $\sqrt{(\sqrt{12}{)}^2+\sqrt{(12{)}^2}}=\sqrt{12+12}=\sqrt{24}=4.90$

Then volume of pyramid $=$ $\frac{1}{3}A.h=\frac{1}{3}\times 12\times 4.90=19.60$