VIA University College JMOG VIA University College Agenda – Quantities soil work Physical state and density Quantities of soil – Truncated pyramid – Truncated.

Slides:



Advertisements
Similar presentations
In Place Soil Density Test Methods
Advertisements

Calculus, ET First Edition
13. 2 Volumes of Pyramids and Cones. Objectives: Find the volumes of pyramids. Find the volumes of pyramids. Find the volumes of cones. Find the volumes.
Volume of Cones and Pyramids
MFM1P Minds On Determine the volume of: a) This square based pyramid b) This triangular based pyramid.
Internal 3 Credits DO NOW: Convert the following: 1) cm 3 to mm 3 2) 728,955 mm 3 to cm 3 3) Write up the method you use for doing this.
Surface area of triangular prisms and pyramids
Find the volume of a pyramid whose base is a square with sides of length L and whose height is h.
Volumes of Pyramids & Cones Objectives: 1) Find the volume of a right Pyramid. 2) Find the volume of right Cone.
The surface area of a prism is the entire area of the outside of the object. To calculate surface area, find the area of each side and add them together.
Volume of a pyramid h Calculate the volume of the rectangular-based pyramid. 6 cm 5 cm 4 cm A B C D E.
Surface Area of Pyramids and Cones Section 12.3 Goal – to find the surface area of a pyramid and the surface area of a cone.
Geometry 11-3 Surface Areas of Pyramids and Cones.
Quantity Calculation Calculation models Copyright 2006 © Nicolai Green Hansen.
Types of Solid Figures Prisms, pyramids and cylinders…oh my!
December Volume of Pyramids and Cones You will need: Math Notes
11 – 5 Volumes of Pyramids & Cones
10-4 Surface Areas of Pyramids
Geometry B Section 12.3 Surface Area of Pyramids and Cones.
Section 10.9 – Volume: Pyramids, Cones, and Spheres
Surface Area of Pyramids and Cones SWBAT: Define Pyramid, Vertex of a pyramid, slant height, Regular Pyramid, Cone, and Right cone. Find the area.
Bell Work: Find the Volume: V =  r 2 h =  (24 2 )(8) = 4608  in 3 4 ft 8 in.
Math 409/409G History of Mathematics Egyptian Geometry.
Volume learning about. There are three classes of solid that we will look at: Prisms Tapered Solids Spheres.
Warm Up. Difference between a prism and a pyramid.
Click to add text Surface Area of Pyramids, Cones and Spheres Math 8 Measurement Unit.
Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.
12-5 and 12-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.
Lesson 11-5 Pages Surface Area: Pyramids and Cones.
Chapter Surface Area of Pyramids and Cones.
11-3 Surface Areas of Pyramids and Cones
Lesson 72, day 2 Pyramids and Cones. Pyramids Pyramid: geometric solid with a polygon base, and triangle faces (lateral faces) Vertex: top of the pyramid.
Surface Area of Pyramids and Cones Pyramid Cones Has a square base and comes to a point Has a circle base and comes to a point.
Geometry Mr. Bower BowerPower.net. What is a cone?  When you spin a right triangle (using one of the legs as an axis), you get a cone.
PRE-ALGEBRA. How do you find volume of a cone or a pyramid? Volume of a Pyramid or Cone Formula Volume. ( pyramid or cone ) =  B  h where B is the area.
Surface Area of Pyramids and Cones
Boyd/Usilton.  A pyramid is a polyhedron in which one face (base) can be any polygon and the other faces (lateral) are triangles.  A regular pyramid.
CHAPTER Continuity Volumes Definition of Volume: Let S be a solid that lies between x = a and x = b. If the cross-sectional area of S in the plane.
Volume of Pyramids and Cones
10-5 and 10-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.
Volume of Cones & Spheres
Algebra 1 Predicting Patterns & Examining Experiments Unit 6: Around the Plane Section 4: Fill ‘er Up.
Chapter 10 Lesson 6 Objective: To find the volume of a pyramid and a cone.
SURFACE AREA PRISMS AND CYLINDERS NET 2 NET 3 NET 4.
Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).
Geometric Solids Volume of Prisms & Cylinders. Polyhedrons One type of geometric solids is a polyhedron A solid with flat faces – each face is a polygon.
Chapter Volume of Pyramids and Cones Find the area of the base of the regular pyramid 1.Base is a regular hexagon Area of hexagon 2.
Lesson 12-2 Pyramids (page 482) Essential Question How is the surface area and volume of pyramids different from prisms?
Do Now Write this down! Below are nets for 3D shapes. Identify the shape and find the area of the net cm 7 ft 10 ft.
10-4 Surface Areas of Pyramids
Activating Prior Knowledge
Cell Counts by Hemocytometer
Area and Volume Area is the amount of space contained in a two-dimensional figure Volume is the amount of space in a three-dimensional figure.
Surface Area of Pyramids, Cones and Spheres
17.1 Equation of a Circle How can you write the equation of a circle if you know its radius and the coordinates of its center?
11-3 Surface Area of Pyramids and Cones
Personal planning and portfolio
Geometry in our world Name:.
Surface Area of Pyramids and Cones
Surface Area of Pyramids, Cones and Spheres
ONE THIRD of the area of the base, B, times the height, h
10-4 Surface Areas of Pyramids
Understanding Solid Figures
Why do we use the WBS method Common assignment – Eat project Examples
Given that they are equivalent, what is the diameter of the sphere?
Surface Area of Pyramids, Cones and Spheres
12.4 Even Answers.
Volume of Pyramids and Cones
12.4 Even Answers.
Geometry: Three Dimensional Solids
Presentation transcript:

VIA University College JMOG VIA University College Agenda – Quantities soil work Physical state and density Quantities of soil – Truncated pyramid – Truncated cone – Square net method – The very simple method Opgaver – Indbygning – Jordmængde Dagens link

VIA University College JMOG VIA University College Physical state and density Physical state: -Solid -Loose -Compressed Density (dry / humidified / wet)

VIA University College JMOG VIA University College Quantities – Truncated pyramid Example: Height, h = 5 m BIG square, G = 400 m 2 SMALL square, g = 100 m 2 Remember top soil – how much was that in average?

VIA University College JMOG VIA University College Quantities – Truncated cone Example: Height, h = 10 m SMALL radius, a = 10 m BIG radius, b = 20 m Remember top soil – how much was that in average?

VIA University College JMOG VIA University College Quantities – Square net method Where a 2 = grid area h = difference between existing kote and new kote (=depth) Example: a 2 er 1*1 m 2 = 1 m 2 h 1 = 0,5 m h 2 = 0,7 m h 3 = 0,6 m h 4 = 1,6 m Remember top soil – how much was that in average?

VIA University College JMOG VIA University College Quantities – The very simple method Existing plane and new plane are devited in suitable triangles according to fit the new terrain This example in a1, a2 og a3 Remember top soil – how much was that in average?

VIA University College JMOG VIA University College Advantages and Disadvantages To be disquessed….. First 3 methodsThe very simple method

VIA University College JMOG VIA University College Assignment – Building in sand Building in 100 m 3 of sand How much sand should we order to the buildingsite? How much does the sand weight if it is wet? Why do we need these informations and calculations?

VIA University College JMOG VIA University College Assignment – Quantities of soil Our client would like to have a copy of this area. How much soil should be removed?

VIA University College JMOG VIA University College Assignment – Quantities of soil