Triangular prism

Calculate the surface of a triangular prism with the base of an equilateral triangle with a side length of 7.5 cm and a corresponding height of 6.5 cm. Prism height is 15cm.

Result

S =  386.25 cm2

Solution:

a=7.5 cm v=6.5 cm h=15 cm  S1=a v2=7.5 6.52=1958=24.375 cm2 o=3 a=3 7.5=452=22.5 cm  S=2 S1+o h=2 24.375+22.5 15=15454=386.25 cm2a=7.5 \ \text{cm} \ \\ v=6.5 \ \text{cm} \ \\ h=15 \ \text{cm} \ \\ \ \\ S_{1}=\dfrac{ a \cdot \ v }{ 2 }=\dfrac{ 7.5 \cdot \ 6.5 }{ 2 }=\dfrac{ 195 }{ 8 }=24.375 \ \text{cm}^2 \ \\ o=3 \cdot \ a=3 \cdot \ 7.5=\dfrac{ 45 }{ 2 }=22.5 \ \text{cm} \ \\ \ \\ S=2 \cdot \ S_{1} + o \cdot \ h=2 \cdot \ 24.375 + 22.5 \cdot \ 15=\dfrac{ 1545 }{ 4 }=386.25 \ \text{cm}^2



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Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 2 comments:
#
Zye
where did you get the 8.5 value, the given side length is 7.5.

#
Matematik
thnk you for found typo fix

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