A box 4

A box open at the top has a rectangular base of 200 mm x 300 mm and an altitude of 150 mm. If the base and the sides are 10 mm thick, find the box's total surface area.

Correct answer:

A =  3988 cm2

Step-by-step explanation:

a=200 mm→ cm=200:10  cm=20 cm b=300 mm→ cm=300:10  cm=30 cm c=150 mm→ cm=150:10  cm=15 cm t=10 mm→ cm=10:10  cm=1 cm  S1​=a⋅ b+2⋅ (a+b)⋅ c=20⋅ 30+2⋅ (20+30)⋅ 15=2100 cm2  x=a−2⋅ t=20−2⋅ 1=18 cm y=b−2⋅ t=30−2⋅ 1=28 cm z=c−t=15−1=14 cm  S2​=x⋅ y+2⋅ (x+y)⋅ z=18⋅ 28+2⋅ (18+28)⋅ 14=1792 cm2  S3​=a⋅ b−x⋅ y=20⋅ 30−18⋅ 28=96 cm2  A=S1​+S2​+S3​=2100+1792+96=3988 cm2

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Showing 1 comment:
Math student
Calculate the volume and total surface area in centimeters of a triangular prism if it has a rectangular base with a=4cm and hypotenuse c=50mm and height of the prism is 0.12dm.





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