Download Acc Pyramids and Cones Review_solutions.jnt

Accelerated AAG
3D Solids – Pyramids and Cones
Name & Date
REVIEW
1) The volume of the regular hexagonal pyramid to the right is 432 3 cm. If the perimeter of its base is 72
cm, find the surface area of the pyramid.
2) Find the exact height, slant height, surface area, and volume of the regular tetrahedron with an apothem of
length 8 inches.
Height
Slant Height
Surface Area
Volume
3) A right cone has a base with a circumference of 30 cm 3 and a height of 8cm. Find the exact surface area
and volume of the cone.
Surface Area =
Volume =
4) A solid is composed of a cone and cylinder attached at a base of the cylinder. The height of the cylinder is
twice the height of the cone. If the lateral area of the cone is 79.2 inches and its slant height is 5.6 inches,
find the volume of the solid. (Draw a diagram)
5) A solid is composed similarly to the solid in #4. The height of the cylinder is still twice the height of the
cone. If the diameter of the base is 8.4 inches and the volume of the solid is 672.4 in3, find the total height of
the solid.