B

1103189208

Level: 
B
The base of a triangular pyramid is an equilateral triangle with a side of \( 6\,\mathrm{cm} \) (see the picture). The volume of the pyramid is \( 24\sqrt3\,\mathrm{cm}^3 \). Find the perpendicular height of the pyramid.
\( 8\,\mathrm{cm} \)
\( 6\sqrt3\,\mathrm{cm} \)
\( 12\,\mathrm{cm} \)
\( 8\sqrt3\,\mathrm{cm} \)

1103189207

Level: 
B
The base of a triangular pyramid is an equilateral triangle with a side of \( 6\,\mathrm{cm} \) (see the picture). The height of the pyramid is \( 4\,\mathrm{cm} \). Find the volume of the pyramid.
\( 12\sqrt3\,\mathrm{cm}^3 \)
\( 12\sqrt2\,\mathrm{cm}^3 \)
\( 24\sqrt3\,\mathrm{cm}^3 \)
\( 36\sqrt2\,\mathrm{cm}^3 \)

1103189202

Level: 
B
Find the surface area of a square pyramid (see the picture) with the base edge length of \( 6\,\mathrm{cm} \) and the height of \( 8\,\mathrm{cm} \).
\( 12\left(3+\sqrt{73}\right)\,\mathrm{cm}^2 \)
\( 132\,\mathrm{cm}^2 \)
\( 156\,\mathrm{cm}^2 \)
\( 12\left(3+2\sqrt{73}\right)\,\mathrm{cm}^2 \)