Hexa prism

Determine the volume of hex prism with edge base 4 cm. The body height is 28 cm.

Result

V =  1163.938 cm3

Solution:

a=4 cm v=28 cm  S1=34⋅ a2=34⋅ 42=4 3 cm2≐6.9282 cm2 S=6⋅ S1=6⋅ 6.9282=24 3 cm2≐41.5692 cm2  V=v⋅ S=28⋅ 41.5692≐1163.9381=1163.938 cm3a = 4 \ cm \ \\ v = 28 \ cm \ \\ \ \\ S_{ 1 } = \dfrac{ \sqrt{ 3 } }{ 4 } \cdot \ a^2 = \dfrac{ \sqrt{ 3 } }{ 4 } \cdot \ 4^2 = 4 \ \sqrt{ 3 } \ cm^2 \doteq 6.9282 \ cm^2 \ \\ S = 6 \cdot \ S_{ 1 } = 6 \cdot \ 6.9282 = 24 \ \sqrt{ 3 } \ cm^2 \doteq 41.5692 \ cm^2 \ \\ \ \\ V = v \cdot \ S = 28 \cdot \ 41.5692 \doteq 1163.9381 = 1163.938 \ cm^3

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

Pythagorean theorem is the base for the right triangle calculator. Tip: Our volume units converter will help you with the conversion of volume units.

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