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Magazine Problem 826
Find the surface area of a cube when each edge is of length a) \(1 ;\) b) 2 .
Problem 832
Find the lateral area and the total surface area of a regular triangular pyramid if each edge of the base measures 6 in. and each lateral edge of the pyramid measures 5 in. (Answer may be left in radical form. See figure.)
Problem 833
Prove: The lateral area of a regular pyramid is equal to one-half the product of its slant height and the perimeter of I its base.
Problem 834
The base of a right prism is a regular hexagon with area \(24 \sqrt{3}\). If the lateral faces of the prism are squares, what is the lateral area?
Problem 836
Find the surface area of a regular icosahedrons when each edge is of length a) \(3 ;\) b) 5
Problem 840
A sphere has radius \(7 .\) What is the area enclosed by a spherical triangle whose angles have measures \(\mathrm{a}=100^{\circ}, \mathrm{b}=120^{\circ}, \mathrm{c}=140^{\circ} ?\) [Take \(\left.\pi=(22 / 7)\right]\).
Problem 842
A right circular cylinder has a base whose diameter is 7 and height is 10 . What is the surface area of the cylinder, not including the bases?
