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26. In Fig. I, ABCDEF is a wooden block in the shape of a prism. Its base is a right-angled triangle ABC. BC = 15
26. In Fig. I, ABCDEF is a wooden block in the shape of a prism. Its base is a right-angled triangle ABC. BC = 15 cm, AB = 12 cm and CD = 10 cm. E E R A A FL D D P B B C Fig. I Fig. II (a) Find the volume of the block ABCDEF. (b) As shown in Fig. II, the block ABCDEF is cut by a plane parallel to the plane BCDF into two blocks APORES and BCOPSFDR. It is given that AP = 4 cm. (1) Find the volume of the block APORES. Explain (ii) Are the blocks APORES and ABCDEF similar? Explain your answer.22. The snowman in the figure consists of two spheres. The ratio of the volumes of the two spheres is 8 : 27. (a) Find the diameter of the small sphere : the diameter of the large sphere. (b) If the surface area of the large sphere is 1.87 m , find the surface area of the small sphere in terms of T.19. The surface area of a volleyball is 1 400 cm and its volume is 5 000 cm. If the diameter of a tennis ball is 30% of that of the volleyball, find (a) the surface area of the tennis ball, (b) the volume of the tennis ball
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