In the figure above, the bases , ABC and DEF, of the right prism are equilateral triangles. The altitude of the prism is BE. If a plane cuts the figure through points A, C and E, two solids, EABC, and EACFD, are formed. What is the ratio of the volume of EABC to the volume of EACFD?

The base of a right prism an equilateral triangle of side 8cm and height of the prism is 10 cm. Then the volume of the prism is

The base of a right prism is an equilateral triangle of side 4 cm. Find the volume of the prism if its height is 9 cm.

In the figure above, the bases of the right uniform solid are triangles with sides of length 5, 12, and 13. If the surface area of the solid is 360, what is the volume ?

The base of a right prism is an equilateral triangle of edge 12 m. If the volume of the volume of the prism is 288sqrt(3) m^(3) , then its height is ________.

In the figure above, triangle ABC is similar to triangle DEF . What is the value of cos(E) ?

A cone of radius r сm and height h cm is divided into two parts by drawing a plane through the middle point of its height and parallel to the base. What is the ratio of the volume of the original cone to the volume of the smaller cone?

A cone of radius r сm and height h cm is divided into two parts by drawing a plane through the middle point of its height and parallel to the base. What is the ratio of the volume of the original cone to the volume of the smaller cone?

The pyramid in the figure above has square base FGHI , and all triangular faces are congruent. The base BCDE of the small pyramid is also square , and is parallel to FGHI. If the ratio of the area of square BCDE to the area of square FGHI is 1:4 , what is the ratio of the volume of the small pyramid to the volume of the large pyramid ?

The volume of a right prism, whose base in an equilateral triangle, is 1500 sqrt(3) cm^(3) and the height of the prism is 125 cm. Find the side of the base of the prism.

A right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and the bottom part respectively?