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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.

$1246 x^{2} + 1156 x + 264$
$1056 x^{2} + 896 x + 654$
$1176 x^{2} + 1344 x + 384$
$1346 x^{2} + 1068 x + 456$

The correct answer is: $1176 x squared plus 1344 x plus 384$

If length of the side of the cube is a, the surface area of the cube is $6 a squared$ .
Here, a = 14x + 8
Surface area of cube $equals 6 left parenthesis 14 x plus 8 right parenthesis squared equals 6 left parenthesis 196 x squared plus 2 asterisk times 14 x asterisk times 8 plus 64 right parenthesis$
$equals 6 left parenthesis 196 x squared plus 224 x plus 64 right parenthesis$
$equals 1176 x squared plus 1344 x plus 384$

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