Volumes Of Solids.

Volumes Of Solids.

Finding the Volume of Solid Figures MCC6.G.2 Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show tha the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

What Is Volume ? The volume of a solid is the amount of space inside it. Consider this rectangular prism. If we were to fill the prism with water, the volume would be the amount of water it could hold. Measuring Volume Volume is measured in cubic centimeters (also called centimeters cubed). Here is a cubic centimeter 1cm

1cm 1cm It is a cube which measures 1cm in all directions. Volume of a Rectangular Prism Look at the rectangular prism below: 4cm 3cm 10cm We must first calculate the area of the base (big B):

The base is a rectangle measuring 10cm by 3cm: 10cm 3cm 10cm 3cm Area of a rectangle = length x width Area = 10 x 3 Area = 30cm2 We now know we can place 30 centimeter squares on the base of the prism. 4cm 3cm

10cm 4cm 3cm 10cm Now we need to find how many layers of 1cm cubes we can place in the prism: We can fit 4 layers. Volume = 30 x 4 Volume = 120cm3 That means that we can place 120 centimeter cubes inside the prism.

4cm 3cm 10cm We have found that the volume of the prism is given by: Volume = 10 x 3 x 4 = 120cm3 This gives us our formula to find the volume of a prism: Volume = Area of the base x Height V=Bh Lets Practice Calculate the volume of the prism below:

(1) 7cm 5 cm 14cm V = lw B h V = 14(5)(7) V = 490 cm3 (2) 12 cm

(3) 3.2m 12 cm 7m 12 cm 9m V = lw B h V = 12(12)(12)

V = lw B h V = 1728 cm3 V = 201.6 m3 V = 9(7)(3.2)

Recently Viewed Presentations

  • Wireless PC Cards - CSUSM

    Wireless PC Cards - CSUSM

    Wireless PC Cards By Henry A Vasquez Outline The Wireless PC Card is the perfect solution for homes and small businesses that want to connect to wireless networks from a laptop. Make the most of the laptops in your home...
  • Cato the Elder (234 BC - 149 BC)

    Cato the Elder (234 BC - 149 BC)

    Cato the Elder (234 BC - 149 BC) With Cato the Elder, in the first half of the second century B.C., Latin history writing first came into existence, representing a new level of self-confidence on the part of the Romans,...
  • Benefit Options 2019

    Benefit Options 2019

    Premier Dentist has higher out-of-pocket costs for member. Cigna. Prepaid means dentists accept set fees. Has a more narrow network. Make sure your dentist is on the network you are choosing. Refer to the guide for the list of states...
  • NORTHERN TERRITORY TREASURY SUPERANNUATION John Montague 25 November

    NORTHERN TERRITORY TREASURY SUPERANNUATION John Montague 25 November

    Territory superannuation reforms STAGE 1 Implemented in January 2011 NT Death and Invalidity Scheme (NTGDIS) New entrant medical declarations no longer required Make sure new recruits received information on the scheme Transition to retirement NTGPASS and NTSSS members can opt...
  • Taxonomy & metadata strategies for effective content management

    Taxonomy & metadata strategies for effective content management

    Taxonomy & metadata strategies for effective content management Melbourne, Sydney, Canberra Masterclass Today's agenda Who I am: Joseph Busch Over 25 years in the business of organized information.
  • Issue Y2K The Great War for Talent!

    Issue Y2K The Great War for Talent!

    Tom Peters' Re-Imagine! Business Excellence in a Disruptive Age Manama/ Kingdom of Bahrain/ 14April2004 "In Tom's world, it's always better to try a swan dive and deliver
  • Chapter 24-1: Introduction to Polymers and Biopolymers  General

    Chapter 24-1: Introduction to Polymers and Biopolymers General

    Take a polymer and be able to identify the monomer units Be generally aware of the importance of polymers in our everyday lives Be generally aware of the "unintended consequences" of our society's addiction to synthetic polymers Be aware that...
  • SIKH HISTORY By: Daljeet Singh  Download the full

    SIKH HISTORY By: Daljeet Singh Download the full

    Tegh Bahadur si kiriya kari na kinhoo aan. Tegh Bahadur ke chalat bhayeyo jagat ko sok. Hai hai hai sub jug bhayeyo jai jai jai surlok" "Having broken His body vessel on the head of the king of Delhi, Guru...