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.
- 1246x2 + 1156x + 264
- 1056x2 + 896x + 654
- 1176x2 + 1344x + 384
- 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 + 214x8 + 64)
= 6(196x2 + 224x + 64)
= 1176x2 + 1344x + 384
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