The dimensions of a box are x, 2x, and 3x. Each dimension is increased by 5. Calculate the volume of the box.
1 answer:
Answer:
Step-by-step explanation:
the volume of the box with given dimensions is :
- x × 2x × 3x
- 6x^3
=》
the measures of sides after increase in each dimension by 5 are :
- x + 5
- 2x + 5
- 3x + 5
so, volume =
- (x+5) × (2x+5) × (3x+5)
- (2x^2 + 5x + 10x + 25) × (3x+5)
- (2x^2 + 15x + 25) × (3x+5)
- 6x^3 + 10x^2 + 45x^2 + 75x + 75x + 125
- 6x^3 + 55x^2 + 150x + 125
<em>volume</em><em> </em><em>of</em><em> </em><em>box</em><em> </em><em>after</em><em> </em><em>increase</em><em> </em><em>of</em><em> </em><em>5</em><em> </em><em>in</em><em> </em><em>each</em><em> </em><em>dimension</em><em> </em><em>is</em><em> </em><em>:</em>
<em></em>
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