# Prism

Find the volume and surface area of prism with base of an equilateral triangle with side 7 dm long and the body height of 1.5 m.

Result

V =  0.318 m3
S =  3.574 m2

#### Solution:

$a = 0.7 \ \\ h = 1.5 \ \\ P = \sqrt{ 3 }/4 \cdot \ a^2 = \sqrt{ 3 }/4 \cdot \ 0.7^2 \doteq 0.2122 \ \\ V = P \cdot \ h = 0.2122 \cdot \ 1.5 \doteq 0.3183 = 0.318 \ m^3$
$S = 2 \cdot \ P + 3 \cdot \ a \cdot \ h = 2 \cdot \ 0.2122 + 3 \cdot \ 0.7 \cdot \ 1.5 \doteq 3.5744 = 3.574 \ m^2$

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#### Following knowledge from mathematics are needed to solve this word math problem:

Do you know the volume and unit volume, and want to convert volume units? See also our trigonometric triangle calculator. Pythagorean theorem is the base for the right triangle calculator.

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