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Exam 10: Surfaces and Solids

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Question 31

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A right rectangular prism has a base that measures 6 in by 8 in. If the volume of the "box" is 360 , find the height of the prism.

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Question 32

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For the right rectangular prism (or box)shown, the dimensions are l = 12 in, w = 4 in,and h = 3 in. How long is a diagonal of the box?

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Question 33

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For a pentagonal pyramid, the total number of edges is 10.

For a right circular cylinder, the length of radius of base is 2.3 inches and the altitude measures 8.5 inches. Correct to the nearest tenth of cubic inch, find the volume of the cylinder.

A right circular cylinder of altitude h and with a base of radius r has lateral area L where .

For the right circular cylinder, the base has area and the lateral area is . What is the total area of the cylinder?

With O as the center of the regular pentagonal base and P as the vertex of the pyramid shown, what relationship must hold in order for the pyramid to be known as a regular pentagonal pyramid?

For a box, its height is 4 feet and its volume is 192 . If the length of the rectangular base is 2 feet more than the width of the base, find the width of the base.

The total area of a right circular cylinder is . If the height of the cylinder is 4,find the length of the radius.

What is the name of the geometric figure that is the theoretical limit of an "inscribed" regular polyhedron whose number of faces increases without limit?

What is the exact surface area for a ball with radius 5 inches?

A right circular cone has a diameter for its base of length 16 inches and an altitude of 15 inches. Use to find the exact lateral area of the cone.

Given that each edge measures 4 cm, find the total area of the regular tetrahedron.

A sphere is circumscribed about a cube that has edges of 4 cm. Correct to nearest tenth of a square centimeter, find the approximate surface area for the sphere. Use the calculator value of .

The surface area of a regular hexahedron is 102 . To the nearest tenth of a centimeter, what is the length of each edge of the hexahedron?

For a right circular cylinder with radius of base r and length of altitude h, the formula for the lateral area L is:

Given that m = 90 ° and that the triangular region is revolved about side , the related solid of revolution is a right circular cone with radius BC and altitude AC .

A right circular cylinder and a right circular cone with the same circular base and same length of altitude will have the same volume.

A regular square pyramid has base edges of 9 inches and an altitude length of 12 inches. Find the volume of the pyramid.

The lateral area L of any prism whose altitude measures h and whose base has perimeter P is given by L = hP.