A cuboid has dimensions: width = x+1, length = 2x-2, height = x+2. Work out the volume of this cuboid. Give your answer in terms of x.
Volume of cuboid = width x length x heightV = (x + 1)(2x - 2)(x + 2)
For simplicity, multiply the first 2 sets of brackets first. Then multiply the result by the third set of brackets.Note: for multiplication, the order of calculation doesn't matter. When expanding brackets: (a + b)(c + d) = (a x c) + (a x d) + (b x c) + (b x d)
For this problem: V = [(x + 1)(2x - 2)](x + 2) , showing we will multiply the first two sets of brackets firstV = [2x2 - 2x + 2x - 2](x + 2) , expanding the first two sets of bracketsV = [2x2 - 2](x + 2) , cancelling ie. -2x + 2x = 0V = 2x3 + 4x2 - 2x - 4 , expanding the two sets of brackets This is our final answer in terms of x.
SA
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