Omi67

That's the trajectory.

11)Let ABCDEFGH be a rectangular prism, as shown, where AB = 2, AD = 3, and AE = 5. Find the volume of pyramid ACFH.

10)Let ABCDE be a pyramid, where the base ABCD is a square of side length 10. The total surface area of pyramid ABCDE (including all five faces) is 260.
Let M, N, P, and Q be the midpoints of AE, BE, CE, and DE, respectively. Find the total surface area of frustum ABCDMNPQ.

9)Each of the eight edges of a regular square pyramid has length 2. The volume of the pyramid is V. Find V^2.

8)Three face diagonals of a rectangular prism have lengths sqrt19, sqrt23 and sqrt30. Find the length of its space diagonal.

7)A pyramid and a prism share the same base. The prism has 99 edges. How many faces does the pyramid have?

99 : 3 = 33

33 *2 = 66

6)Two cubes of volumes 8 and 27 are glued together at their faces to form a solid with the smallest possible surface area. What is the surface area of the resulting solid?

5)A rectangular prism has dimensions 8, 12, and 16. What is the length of its longest face diagonal?

4)A right pyramid has a regular hexagon as a base. The slant height is 20, and the perimeter of its base is 10. What is the lateral surface area of the pyramid?

3)What is the total surface area of this prism?