1) Given the right prism, find the following: a) Area of the base b) Lateral surface area c) Total area
2) If the height of the cylinder tube is \(25\) cm, find the total area (including the bases) of the figure below. (Note: the two cylinders are concentric.)
3) In the regular square pyramid, \(PA = 34\) and \(\ell = 30\), find the following: a) Lateral Area b) Surface Area
4) Circle \(C\) is the base of the right circular cone. If the circumference is \(30\pi\) in and \(m\angle{ABC}=30^{\circ}\), find the lateral area of the cone.
5) If the base of the right circular cylinder shown has a circumference of \(14\pi\) and \(AB = 25\), find the surface area of the cylinder.
6) A right cone is carved out of a hemisphere with diameter \(18\) cm so that the vertex of the cone is on the surface of the hemisphere. The bases of the figures are congruent. Find the total surface area.
7) The area of the lower base in the rectangular pyramid is \(342\) cm\(^2\). If \(DC = 16\) and \(AB = 10\), then find the area of rectangle \(CDEF\).
8) Given a rectangular right pyramid with base \(10\) by \(13\) and lateral edge \(13\), find a) Lateral Surface Area b) Total Surface Area
9) Find the surface area of the right rectangular pyramid below.
10) What area of metal in needed to manufacture this bucket? The dimensions are \(12\frac{5}{8}\) in top diameter, \(9\frac{1}{2}\) in bottom diameter and \(12\) in height.