Calculate Total Surface Area of 3D Shapes
Explore how to calculate the total surface area of various 3D shapes by working out missing lengths, determining required card amounts, and solving challenges related to surface area and volume calculations in a series of educational exercises and visual representations.
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Presentation Transcript
Five cuboids are shown with their nets. Work out the missing lengths.
24 ??2 of card is required for the dotty face of this cuboid. ? = 4 ?? What is the total amount of card needed to make this cuboid?
Show your calculations on your whiteboard. ? = 4 ?? What is the total amount of card needed to make this cuboid?
Surface Area The surface area of a 3D shape is the total area of all of the faces. Area of dotty face = 24 ??2 Area of stripy face = 48 ??2 Area of pink face = 32 ??2 Surface Area = 24 2 + 48 2 + 32 2 = ??? ???
Quick Check Work out the surface area of each of these cuboids. 5 ??
Title: Surface Area Your Turn Worked Example Calculate the total surface area of this triangular prism Calculate the total surface area of this triangular prism
Independent Practice Calculate the total surface area of each shape C D
Mark/Correct your work C 121.9 ??2 D 184 ??2 288 ??2 392 ??2
Challenge 84 ??2 30 ??2 70 ??2 The dimensions are all integers. Work out the volume of this cuboid.
Challenge Two cuboids have the same surface area. One has dimensions ? 4 9 The other has dimensions ? ? 11 Find the value of ?.
