2 14.1 14.2 Areas and perimeters 1 Work out the area of the following shapes. 8 cm 7 cm 11 cm......... d e f 6 cm 6 cm 10 cm 9 cm......... 2 Work out the area of the following shapes. a b c 3 mm 3 mm 10 cm 10 mm 6 mm 12 mm 11 cm 8 mm 15 mm......... 3 Work out the area of the shaded section of these shapes. a b 2 m 1 m 6 m 10 cm 7 cm 7 m 9 cm...... 173A 1
2 14.1 14.2 Areas and perimeters 4 A farmer wants to plant a rectangular field with wheat. The field measures 150 m by 90 m. He needs to use 100 g of seed per 5 m². alculate the quantity of seed the farmer needs to buy. Give your answer in kg.... 5 Karen is going to wallpaper a wall of her bedroom. The wall is 9 m long and 3 m high. Wallpaper comes in rolls 60 cm wide and 10 m long. alculate the number of rolls of wallpaper Karen needs to buy.... 6 A rectangle has an area of 30 cm² and one side of 6 cm. a alculate the length of the other side of the rectangle. b alculate the height of a triangle drawn on the 6 cm side of the rectangle that has the same area as the rectangle.... 173B 2
2 14.3 rawing 3 shapes 1 Which of the following are nets of a cuboid?......... 2 The following are nets of 3 shapes. Identify the shapes.......... 3 raw the nets of the following shapes. 8 cm 6 cm 8 cm......... 175A
2 14.3 rawing 3 shapes 4 The container for a tube of sweets is 1 long with a radius of 1.. a raw the net of the container. 175B
2 14.4 Elevations and plans 1 raw elevations and plans of the following shapes. a 1 cm b 1 cm 1 cm...... c d 1....... 177A
2 14.4 Elevations and plans 2 Sketch the shapes given by these plans and elevations. a Plan Front elevation Side elevation b Plan Elevation c Front elevation Side elevation Plan 177B
2 14.5 14.6 Volume of a cuboid and prism 1 Work out the volume of the following shapes. 8 mm 7 mm 7 cm 10 mm 1 cm 1 cm......... 2 Work out the volume of these prisms. 6 cm 1 11 cm 9cm 2 14cm......... 3 A cube has a volume of 27 cm 3. alculate the length of one side of the cube.... 4 A prism has a cross-sectional area of 8 mm² and a volume of 224 mm 3. alculate the length of the prism.... 179
2 14.7 Surface area of a prism 1 alculate the surface area of the following prisms. a b How many faces does each prism have? 6 cm 10 cm 9 cm.................. 2 a raw the nets of the following prisms and label the sides. Then use this information to calculate their surface areas. Hint: This prism 11 cm has 10 faces. 8 cm... b 5mm 3mm 4mm 9mm... 181
2 14.8 oordinates in three dimensions 1 The following points join up to form a cuboid. Plot the points and draw the cuboid. y 4 3 2 To plot A(3, 0, 4), start at the origin 0, move 3 along the x-axis (right 3), then 0 parallel to the y-axis (don t move), then 4 parallel to the z-axis (4 along a diagonal line) z 4 3 2 1 0 1 A 1 2 3 4 x a B(3, 4, 0) b (0, 4, 4) c (0, 0, 4) d E(3, 4, 4) e F(0, 4, 0) f G(3, 0, 0) g H(0, 0, 0) 2 Plot the following points. y 5 4 5 3 4 2 3 1 2 1 5 4 3 2 1 0 1 1 2 3 4 5 2 2 3 3 4 4 z 5 5 x a A(3, 1, 1) b B(2, 2, 0) c (0, 1, 3) d ( 1, 3, 2) e E( 1, 5, 0) f F( 2, 2, 1) d G(1, 3, 1) h H(0, 2, 4) i I(1, 1, 4) j J(0, 0, 3) k K( 1, 3, 3) 3 Find the midpoint of the straight line joining each pair of points. A(2, 6, 0) and B( 4, 2, 8) 2 + 4 6 + 2 0 + 8 Midpoint is = (,, ) = ( 1, 4, 4) 2 2 2 a P(3, 1, 6) and Q(1, 5, 0) b A( 2, 2, 8) and B(0, 2, 6) c M(0, 0, 6) and N(6, 0, 0) d (1, 0, 4) and (0, 4, 1) 183A
2 14.8 oordinates in three dimensions e V( 3, 3, 3) and W(3, 3, 3)... f T(0, 10, 0) and U( 10, 10, 10)... 4 Find the midpoints of these lines in the cuboid from Question 1. Mark them on your diagram. B a BG b AB c F d B 183B