Cardboard box

We want to make a cardboard box-shaped quadrangular prism with a rhombic base. The rhombus has a side of 5 cm and 8 cm, one diagonal long. The height of the box is 12 cm. The box will be open at the top. How many square centimeters do we need if we calculate the overlap and joints need 5% of the cardboard?

Correct answer:

S =  277.2 cm2

Step-by-step explanation:

q=100%+5%=1+1005=1.05 h=12 cm a=5 cm d=8 cm  s=2a+a+d=25+5+8=9 cm  S1=a h=5 12=60 cm2 S2=s (sa) (sa) (sd)=9 (95) (95) (98)=12 cm2  S3=4 S1+2 S2=4 60+2 12=264 cm2  S=q S3=2021 264=2021 264=205544=51386 cm2=277.2 cm2

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