a box has a length of (3x+2) cm, a width of 2x and a height of 5cm
a. what is its volume
b. what is its total surface area?
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Answer:
a. Volume is 30x^2 + 20x
b. Total surface area is 12x^2 + 58x + 20
Step-by-step explanation:
The 'box' being a cuboid:
a. Volume of a cuboid = lbh
= (3x + 2) * (2x) * (5)
= (3x + 2) * 10x
= 30x^2 + 20x
b. Total surface area = 2(lb + bh + lh)
= (3x + 2)*(2x) + (2x * 5) + (15x + 10)
= 6x^2 + 4x + 10x + 15x + 10
= 2(6x^2 + 29x + 10)
= 12x^2 + 58x + 20
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