Solve the following problems: When measuring a parallelepiped block of wood, the values of 10, 12 and 20 cm have resulted for d) their dimensions with a probable error of 0.05 cm in each. Find, approximately, the maximum error that can be made when evaluating the total area of the block. e) In the formula R = E/C, find the maximum error if C = 20 with a probable error of 0.1 and E = 120 with a probable error of 0.05. f) Two sides of a triangle measure 150 and 200 meters and the angle they form is 60°. Knowing that the probable errors in the measurement are of 0.2 meters in the measure of the sides and 1° in the angle, find the maximum probable error that can be made when evaluating its area.

Solve the following problems: When measuring a parallelepiped block of wood, the values of 10, 12 and 20 cm have resulted for d) their dimensions with a probable error of 0.05 cm in each. Find, approximately, the maximum error that can be made when evaluating the total area of the block. e) In the formula R = E/C, find the maximum error if C = 20 with a probable error of 0.1 and E = 120 with a probable error of 0.05. f) Two sides of a triangle measure 150 and 200 meters and the angle they form is 60°. Knowing that the probable errors in the measurement are of 0.2 meters in the measure of the sides and 1° in the angle, find the maximum probable error that can be made when evaluating its area.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

See similar textbooks

Similar questions

A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.
The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?
A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
A hot-air balloon is held in place by the ground crew at a point that is 21 ft from a point directly beneath the basket of the balloon. If the rope is of length 29 ft, how far above ground level is the basket?
A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity volume of its interior?
The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the height of a prism with a base area of 2.7 square feet and a volume of 4.86 cubic feet.