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Find the volume of the composite figure. Round to the nearest ..., Lecture notes of Analytical Geometry and Calculus

Full Sail UniversityAnalytical Geometry and Calculus

The volume of the composite figure is 13 cubic meters. ANSWER: 13 m3. eSolutions Manual - Powered by Cognero. Page 1. 8-8 Volume and Surface Area of ...

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Findthevolumeofthecompositefigure.Roundtothenearesttenthifnecessary.
2.
SOLUTION:
Thefigureismadeupoftwopyramids.
Volumeoftoppyramid
Volumeofbottompyramid
5m3+8m3=13m3
Thevolumeofthecompositefigureis13cubicmeters.
ANSWER:
13m3
eSolutions Manual - Powered by Cognero Page 1
8-8VolumeandSurfaceAreaofCompositeFigures
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Download Find the volume of the composite figure. Round to the nearest ... and more Lecture notes Analytical Geometry and Calculus in PDF only on Docsity!

Find the volume of the composite figure. Round to the nearest tenth if necessary.

SOLUTION: The figure is made up of two pyramids. Volume of top pyramid Volume of bottom pyramid 5 m^3 + 8 m^3 = 13 m^3 The volume of the composite figure is 13 cubic meters. ANSWER: 13 m^3

Find the surface area of the composite figure. Round to the nearest tenth if necessary.

SOLUTION: The figure is made up of two rectangular prisms. Surface area of bottom rectangular prism minus area of bottom surface of top rectangular prism Surface area of top rectangular prism minus area of bottom surface 570 m^2 + 150 m^2 = 720 m^2 The surface area of the composite figure is 720 m^2. ANSWER: 720 m^2

Copy and Solve Show your work on a separate piece of paper. Round to the nearest tenth.

  1. Find the volume of the figure shown. SOLUTION: The figure is made up of two rectangular prisms. Volume of top rectangular prism Volume of bottom rectangular prism 108 m^3 + 864 m^3 = 972 m^3 The volume of the composite figure is 972 cubic meters. ANSWER: 972 m^3
  1. Refer to the house shown. Find the surface area and volume of the house. Do not include the bottom of the house when calculating the surface area. SOLUTION: Volume: The house is made up of a triangular prism and a rectangular prism. Volume of triangular prism Volume of rectangular prism 300 m^3 + 1,080 m^3 = 1,380 m^3 The volume of the house is 1,380 cubic meters. Surface area: The house is made up of a rectangular prism and a triangular prism. Surface area of bottom rectangular prism minus the top and bottom of the prism Surface area of top triangular prism but not the area where the two prisms connect The area of each triangle is or 25. The area of the first rectangle is 7.1 • 12 or 85.2. The area of the second rectangle is 7.1 • 12 or 85.2. The sum of the areas of the sides is 25 + 25 + 85.2 + 85.2 or 220.4 m^2. 396 m^2 + 220.4 m^2 = 616.4 m^2 The surface area of the house is 616.4 m^2. ANSWER: volume: 1,380 m^3 ; surface area: 616.4 m^2

Find the surface area of the composite figure. Round to the nearest tenth if necessary.

SOLUTION: The figure is made up of two rectangular prisms. Surface area of bottom rectangular prism minus area of bottom surface of top rectangular prism Surface area of top rectangular prism minus area of bottom surface 182 yd^2 + 110 yd^2 = 292 yd^2 The surface area of the composite figure is 292 yd^2. ANSWER: 292 yd^2

  1. Find the Error Seth is finding the surface area of the composite figure shown. Find his mistake and correct it. SOLUTION: Students should recognize that Seth used volume formulas rather than surface area formulas. The figure is made up of a square pyramid and a cube. Surface area of cube (minus one face) Lateral area of pyramid The actual surface area is 180 + 48 or 228 cm^2. Sample answer: Seth found the volume of the composite figure instead of the surface area. The actual surface area is 228 cm^2. ANSWER: Seth found the volume of the composite figure instead of the surface area. The actual surface area is 228 cm^2.

Draw a net for the figure.

SOLUTION: ANSWER:

SOLUTION:

ANSWER: