The figure below is a cone whose base radius is 3.5cm and slant height 7cm. The net of the cone is a sector of a circle.(a) Find the angle subtended at the centre of the sector. (2mks)(b) Draw the net of the solid. (1mk)
The figure above is a triangular prism of uniform cross – section in which AF = 4cm, AB = 5cm and BC = 8cm.a) If a triangle BAF = 300, calculate the surface area of the prism (3mks)b) Draw a clearly labelled net of the prisms (1mk)Worked Answer:Form 1 MathematicsForm 2 MathematicsThe figure below shows a model of a roof with a rectangular base PQRS PQ = 32 cm and QR = 14 cm. The ridge XY = 12 cm and is centrally placed. The faces PSX and QRY are equilateral triangles M is the midpoint of QR. Calculate (a) (i) the length of YM (ii) The height of Y above the base PQRS (b) The angle between the planes RSXY and PQRS (c) The acute angle between the lines XY and QS Form 1 MathematicsForm 1 Mathematics
The external length, width and height of an open rectangular container are 41 cm and 15.5 cm respectively. The thickness of the materials making the container is
5mm. if the container has 8 lit res of water, calculate the internal height above the water level. Form 1 MathematicsForm 1 MathematicsForm 1 MathematicsForm 1 Mathematics
The figure VPQR below represents a model of a top of a tower. The horizontal base PQR is an equilateral triangle of side 9cm. The lengths of edges are VP = VQ = VR = 20.5cm. Point M is the mid point of PQ and VM = 20cm. Point N is on the base and vertically below V.
Calculate:
a) i) Length of RM ii) Height of model iii) Volume of the model b) The model is made of material whose density is 2,700 kg/m3. Find the Mass of the model. Form 1 MathematicsForm 1 MathematicsRelated QuestionsOn the surface of a cuboid ABCDEFGH a continuous path BFDHB is drawn as shown by the arrows below
A pyramid of height 10 cm stands on a square base ABCD of side 6 cm
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