Mathematics
Grade10
Easy

Question

The sculpture shown contains a large cube. Write a polynomial in standard form to represent the surface area of the cube.

  1. 1246x2 + 1156x + 264
  2. 1056x2 + 896x + 654
  3. 1176x2 + 1344x + 384
  4. 1346x2 + 1068x + 456

The correct answer is: 1176x2 + 1344x + 384


    If length of the side of the cube is a, the surface area of the cube is 6a2.
    Here, a = 14x + 8
    Surface area of cube = 6(14x + 8)2 = 6(196x2 + 2cross times14xcross times8 + 64)
    = 6(196x2 + 224x + 64)
    = 1176x2 + 1344x + 384

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