Skip to main content
UploadLanguage (EN)Support
BusinessMobileSocial MediaMarketingTechnologyArt & PhotosCareerDesignEducationPresentations & Public SpeakingGovernment & NonprofitHealthcareInternetLawLeadership & ManagementAutomotiveEngineeringSoftwareRecruiting & HRRetailSalesServicesScienceSmall Business & EntrepreneurshipFoodEnvironmentEconomy & FinanceData & AnalyticsInvestor RelationsSportsSpiritualNews & PoliticsTravelSelf ImprovementReal EstateEntertainment & HumorHealth & MedicineDevices & HardwareLifestyle
Uploaded byronnelgubaton
PPTX, PDF219 views

VOLUME OF PYRAMIDS - Definition and Examples

The document discusses the volume of pyramids, focusing on the great pyramid of Giza as a historical example. It explains the geometric properties of rectangular and square pyramids, providing formulas for calculating their volumes and worked examples. Additionally, it includes practice problems and activities for determining the volume of various pyramid-shaped solids.

Education◦
Downloaded 10 times
VOLUME OF PYRAMIDS
Did you know that one of the oldest pyramid structures known to man is the “Great Pyramid of Giza?” It was constructed around 2550 BC in Egypt, and they are considered one of the seven wonders of the world
Unlocking Content Area Vocabulary • are three-dimensional geometric shapes where the base is a polygon, and all other sides are triangles that meet at the apex or vertex Pyramids
A Rectangular Pyramid is a three-dimensional geometric shape that has a rectangular base and four triangular faces (lateral faces) that are joined at the top by a vertex or apex.
That is, the volume of a pyramid is one-third of the volume of a prism of the same base and perpendicular height. Particularly, the volume of a rectangular pyramid is one-third of the volume of a rectangular prism of the same base and perpendicular height.
Worked Example Example 1. Find the volume of a rectangular pyramid whose base is 6 x 7 inches and a height of 10 inches.
Worked Example Example 2. Find the volume of a rectangular pyramid if its base length is 10 meters, its base width is 6 meters, and its height is 14 meters.
Practicing Skill: 1. What will be the volume of a regular rectangular pyramid with base sides 10 in and 9 in, and a height of 18 in? 2. The base area of a rectangular pyramid tent is 10 feet2 and its height is 18 feet. Determine the volume of the given tent. 3. If the volume of a rectangular pyramid shaped vessel is 180 units3 and its rectangular base has a dimension of 9×6 units, what is the height of the given vessel?
Square Pyramid Recall that a rectangular pyramid is a solid figure that has a rectangular base and four triangular faces joined at the top by a vertex. The bottom rectangles are called the base of the pyramid. Since a square is a rectangle with four equal sides, that is, its length and width are equal, it follows that the volume of a square pyramid where l = s units and w = s units is
Example 1. Find the volume of a square pyramid if its base edge is 9 meters and its height is 14 meters.
Example 2. Find the volume of a square pyramid if its height is 12 inches and its base edge is 7 inches.
Example 3. The roof of a house is in the form of a square pyramid. If its base edge is 6 feet and the volume is 120 cubic feet, how high is the roof?
Activity Find the volume of the solid figures 1. A square pyramid has a base edge of 7 inches and height of 5 inches. Find the volume of the square pyramid. 2. A square pyramid has a height of 20 ft and a base width of 5 ft. What is the volume of the pyramid? 3. The Louvre Pyramid in Paris, France has a height of 71 ft. Its square base has sides of 34 meters. Find the volume of the pyramid. 4. The roof of a house is in the form of a square pyramid. If its volume is 256 cubic feet and the base edge is 8 feet, how high is the roof?
Volume of Composite Solid A three-dimensional figure made up of two or more solids. Example:
Therefore, the volume of the composite solid Vtotal = 80 + 32 = 112.
Try this out!