Triangular prism

Calculate the volume and surface of the triangular prism ABCDEF with base of a isosceles triangle. Base's height is 16 cm, leg 10 cm, base height vc = 6 cm. The prism height is 9 cm.

Result

V =  432 cm³
S =  420 cm²

Solution:

$a=16 \ \text{cm} \ \\ r=10 \ \text{cm} \ \\ v=6 \ \text{cm} \ \\ h=9 \ \text{cm} \ \\ S_{1}=a \cdot \ v / 2=16 \cdot \ 6 / 2=48 \ \text{cm}^2 \ \\ V=S_{1} \cdot \ h=48 \cdot \ 9=432 \ \text{cm}^3$

$o=a + 2 \cdot \ r=16 + 2 \cdot \ 10=36 \ \\ S_{2}=o \cdot \ h=36 \cdot \ 9=324 \ \\ S=S_{2} + 2 \cdot \ S_{1}=324 + 2 \cdot \ 48=420 \ \text{cm}^2$

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