3s prism

It is given a regular perpendicular triangular prism with a height 19.0 cm and a base edge length 7.1 cm. Calculate the volume of the prism.

Correct result:

V =  414.735 cm3

Solution:

a=7.1 cm h=19.0 cm  S1=34 a2=34 7.1221.8282 cm2  V=S1 h=21.8282 19=414.735 cm3a=7.1 \ \text{cm} \ \\ h=19.0 \ \text{cm} \ \\ \ \\ S_{1}=\dfrac{ \sqrt{ 3 } }{ 4 } \cdot \ a^2=\dfrac{ \sqrt{ 3 } }{ 4 } \cdot \ 7.1^2 \doteq 21.8282 \ \text{cm}^2 \ \\ \ \\ V=S_{1} \cdot \ h=21.8282 \cdot \ 19=414.735 \ \text{cm}^3

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Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
Tip: Our volume units converter will help you with the conversion of volume units.
See also our trigonometric triangle calculator.

 
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