The volume of the similar triangular prism is: 1,280 cm³.
What is the Volume of a Right Triangular Prism?
Volume of a right triangular prism = 0.5 × b × h × altitude, where:
b is the base length of the triangular base
h is the height of the triangular base
Find the of the first triangular prism
Base length of the triangular base (b) = 4 cm
Height of the triangular base (h) = 4 cm
Altitude of the prism = 20 cm
Volume of the first triangular prism = 0.5 × 4 × 4 × 20 = 160 cm³.
Volume of the first prism/Volume of the second prism = (leg of first prism)³/(leg of second prism)³
160/Volume of the second prism = (4)³/(8)³
160/Volume of the second prism = 64/512
160/Volume of the second prism = 0.125
Volume of the second prism = 1,280 cm³.
Thus, applying the volume formula for a right triangular prism, the volume of the given similar prism is calculated as: 1,280 cm³.
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