Answer:
The height of the rectangle is 4x^3, and the width is x^3 + 2x. To calculate the volume, Substitute the given values: Volume = (4x^3) \times (x^3 + 2x) ]
Using the distributive property, we expand the expression: Volume = 4x^6 + 8x^4
Explanation:
The height of the rectangle is 4x^3, and the width is x^3 + 2x. To calculate the area, we multiply the height by the width:
Area = Height × Width Area = (4x^3) × (x^3 + 2x)
Using the distributive property, we can expand the expression:
Area = 4x^3 × x^3 + 4x^3 × 2x Area = 4x^6 + 8x^4
Therefore, the area of the entire rectangle is [4x^6 + 8x^4].
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The height of the rectangle is 4x^3, and the width is x^3 + 2x. To calculate the perimeter, we sum up the lengths of every side:
Let’s compute the perimeter: [ P = 2(4x^3) + 2(x^3 + 2x) ] Using the distributive property, we expand the expression: [ P = 8x^3 + 2x^3 + 4x ] Combine like terms: [ P = 10x^3 + 4x ] Therefore, the perimeter of the rectangle is [10x^3 + 4x]
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