3x4) 6cmtangie bxhmx5cmDinL.cm229AThe diagram shows a piece of cheese cut in the form ofa triangular prism. The dimensions are indicated on thediagram.(e)4 cmG11576B(1)Calculate the volume of the cheese.3 cmCalculate the surface area of the wrappingpaper around the cheese.(2)5 cmA bucket is in the shape of a frustum. If the diametersof the circles are 20 cm and 12 cm respectively andthe depth is 30 cm, calculate the volume of the bucket.(f)20 cmG1157712 cm(g)Consider the following toy made from a cone withheight 14 cm and a hemisphere (half of a sphere)with a radius of 13 amCel

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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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THREE STUDENTS FOUND THE VOLUME OF A SPHERE USING 3.14 FOR PI, BUT EACH STUDENT MADE, MISTAKE. USE THE TYPING TOOL TO DESCRIBE EACH MISTAKE AND THEN FIND THE CORRECT VOLUM TO THE NEAREST HUNDREDTH. TEAGAN ANGEL BROCK r= 6 cm d = 8 cm d = 4 cm V = 3.14)(6") v= (3.14(8) V = V= (6.28)3 V = v-.10512) 14)(S V = 75.36 cm3 V = 2,143.6 cm3 V = 330.2 cm3 Explain Teagan's error: Explain Angel's error: Explain Brock's error: Find the correct volume: Find the correct volume: Find the correct volume:
Find the volume of the solid with the given base and cross sections. The base is the circle x + y = 4, and the cross sections perpendicular to the x-axis are triangles whose %3D height and base are equal. (Express numbers in exact form. Use symbolic notation and fractions where needed.) V =
and 12 edges, how many faces does it have? A 6 В 8 C 18 D D 20 14. What is the volume of the cone? A 76.91 ft3 98.06 ft3 C 196.11 ft3 7.2 ft 5.1 ft 588.33 ft3 3. A plane intersects the prism parallel to the base. Which best describes the cross- section?
Solid A is similar to Solid B. Solid A has a volume of 27 cubic feet and solid B has a volume of 64 cubic feet. Find the scale factor of Solid A to Solid B. If the surface area of solid A is 288 square feet. What is the surface area of solid B?
ABCDV is a solid glass pyramid. The base of the pyramid is a square of side 3.2 cm. The vertical height is 2.8 cm. The vertex V is directly above the centre O of the base (a) Calculate the volume of the pyramid. (b) The glass weighs 9.3 grams per cm3. Calculate the weight of the pyramid. (c) Show that the length of the sloping edge VC of the pyramid is 3.6 cm. (d) Calculate the angle at the vertex, . (e) Calculate the total surface area of the pyramid.
n the mid-20th century, engineers constructed a series of canals to move irrigation water from water sources to farming communities throughout the western United States. The volume of water a canal an move is partially dependent on its cross-sectional area. Suppose a canal is trapezoidal, 35.0 ft across the top and 15.0 ft across the bottom, with a planned depth of water of 10.0 ft as shown in the gure. Find the cross-sectional area of the canal when it is full (in ft). (Use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision.) 35.0 ft 10.0 ft 15.0 ft
Fido the dog is on a 16.7-ft chain that is attached to the middle of the back of a barn, as shown in the picture below. The chain does not allow him to go past either of the adjacent sides of the barn, thereby allowing him to roam all the space inside 1/2 of a circle. How much area does Fido have to roam?

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