Vertical prism

The base of the vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism

Correct answer:

S =  960 cm2
V =  900 cm3

Step-by-step explanation:

a=5 cm c=13 cm  b=c2a2=13252=12 cm  h=a+b+c=5+12+13=30 cm P=a b/2=5 12/2=30 cm2  S=2 P+a h+b h+c h=2 30+5 30+12 30+13 30=960 cm2
V=P h=30 30=900 cm3

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