# Deduce and use formulae to find the perimeters and areas of polygons and the volumes of prisms

Deduce and use formulae to find the perimeters and areas of polygons and the volumes of prisms

 1 Trinagular numbers: Investigate triangle ratios 2 Trinagular numbers: Investigate triangle ratios 3 Figuring the Fences: Investigate relationship between perimeter and area 4 Terry's Trapezium Trap - Select correct algebraic expression 5 Down on Don's Farm - Develop then calculate an algebraic expression 6 Terry's Trapezium Trap - Select correct algebraic expression 7 Top It Up - calculate capacity from given dimensions 8 Top It Up - select containers to hold 0.95L given their dimensions 9 Betty's Bricks - calculate volume of 1 brick in cubic cm and 1 pallet of bricks in cubic m 10 Cartons of Fun - complete dimensions to create containers with volume of 1L 11 Uncle Max's Organic Orange Juice - calculate capacity in L given dimensions of carton 12 Dotty Cubes - calculate side length given volume 13 Blocks With Bob - volume of prism made from triangle shape 14 Prismatic Problems - volume of triangular prism 15 Prismatic Problems - volume of rectangular prism & convert to cu. m 16 Prismatic Problems - volume of pentagonal prism 17 Face Value - given areas of faces calculate side lengths, rectangular prism 18 Rec-tangles - calculate side length in km using area in square km 19 Rec-tangles - calculate side length in cm using area in square m, 2 decimal places 20 Tricky Triangles - complete expressions for area of rectangle and triangle 21 Tricky Triangles - complete expressions for area of rectangle and triangle 22 You Go Figure - calculate missing side length in mm, area in square mm 23 Tricky Triangles - complete expressions for area of rectangle and triangle 24 The Bird Cage - equivalent to 2.4 square m 25 Tricky Terminology - identify shape, calculate area, square cm 26 Stepping Out The Bounds! - area of rectangles with the same perimeter 27 The Perimeter Holds! - calculate missing side length, area and perimeter of rectangle given 28 The Area Stands - dimensions of rectangles with same area 29 The Area Stands - dimensions of rectangles with same area 30 The Area Stands - dimensions of rectangles with the same area 31 The Area Stands - dimensions of rectangles with the same area 32 Shapes, Anyone? - area of triangle in a circle 33 Shapes, Anyone? - area of circle in a square 34 Para-gliding - Covering the Same Area - match rectangle with parallelogram of same area 35 Para-shapes - select 2 rectangles/parallelograms with the same area 36 Covering the Same Area - select 3 rectangles/parallelograms with the same area 37 Covering the Same Area - select 2 rectangles/parallelograms with the same area 38 Covering the Same Area - select 2 rectangles/parallelograms with the same area 39 Trapeze Artist - area of a trapezium 40 Trapeze Artist - area of a trapezium 41 Trapeze Artist - area of a trapezium 42 Shape Up - select shapes with same area, quadrilaterals and triangles 43 Parallel Universe - find height of parallelogram given side and area 44 Parallel Universe - area of a parallelogram 45 Triangularea - area of triangle within rectangle 46 Triangularea - find perpendicular height given 1 side and area of triangle 47 Heron's Formula - area of triangle using Heron's formula 48 Kite Capers - area of a kite 49 The Flying Trapezium - area of trapezium, square cm 50 Heron's Formula - area of triangle using Heron's formula 51 Bovine Delinquent Disease - calculate missing side length of rectangle given area, m and hectares 52 Green Hectares - area of rectangle in hectares, dimensions in m 53 Netscape - select correct net, caluclate surface area, triangular prism 54 Wrecked Angles 1 - calculate width of rectangle given area and length 55 Fair and Square 1 - calculate area of square given perimeter 56 Around The Square - calculate perimeter of square given area 57 Perimeter Peril 3 - perimeter of regular dodecahedron given side length 58 Perimeter Peril 2 - perimeter of regular heptagon given side length 59 Perimeter Peril 1 - perimeter of regular octagon given side length 60 The Secret Formula 3 - calculate rectangle side length given one side 61 The Secret Formula 2 - calculate rectangle side length given one side 62 The Secret Formula 1 - calculate rectangle side length given one side and area 63 Wrecked Angles 2 - calculate width given area and length 64 Boundary Rider 2 - calculate side length given area and one side 65 Room To Move - perimeter problem using areas; m 66 Tightly Bound - find smallest perimeter of rectangle given area 67 What's In The Box? - perimeter of a rectangle; Pythagoras 68 Round and Round the Garden... 2 - perimeter problem using area 69 Round and Round the Garden... 1 - perimeter problem using area 70 Tri-time! 3 - select correct expression for perimeter of given equilateral triangle 71 Tri-time! 2 - select correct expression for perimeter of given equilateral triangle 72 Tri-time! 1 - select correct expression for perimeter of given equilateral triangle 73 Uncovering the Plot - move objects to given coordinates, area of t riangle 74 Size Matters - move objects to given coordinates, calculate area of triangle formed