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Similar shapes

Similar shapes. Cuboid A is enlarged with scale factor k to obtain B. Find expressions for the surface area & volume of B. Write down expressions for the surface area & volume of A. x. A. B. z. y. V A =xyz. V B =kxkykz=k 3 (xyz). S A =2(xy+xz+yz). S B =2(kxky+kxkz+kykz)

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Similar shapes

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  1. Similar shapes

  2. Cuboid A is enlarged with scale factor k to obtain B. Find expressions for the surface area & volume of B Write down expressions for the surface area & volume of A x A B z y VA=xyz VB=kxkykz=k3(xyz) SA=2(xy+xz+yz) SB=2(kxky+kxkz+kykz) =k2(2(xy+xz+yz))

  3. Scale, area & volume factors

  4. Sphere M is enlarged with scale factor 5 to obtain N. Find the volume of N N M VM=20cm3 VN=53x20=2500cm3

  5. Cylinders G and H are similar.Find the radius of H SG=14πcm2 SG=224πcm2 G rG H rG=1.5cm k2 = 224π/14π= 16 so k=4 and rH= 4x1.5 = 6cm

  6. Prisms P and Q are similar.Find the surface area of P VP=15cm3 VQ=405cm3 P Q k3 = 405/15 = 27 so k=3 and k2=9 and SP= 162 / 9 = 18cm2 SQ=162cm2

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