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This prism has a right triangle for a base. What is the volume of the prism ?

This prism has a right triangle for a base. What is the volume of the prism ?-example-1
User Rockbar
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2 Answers

7 votes
7 votes
Because the base has a right angle and side 4 with a hypotenuse of 5, the Pythagorean theorem of a^2+b^2=c^2 (4^2 + b^2=5^2, 16+b^2=25) tells me the missing side is 3. Then, calculate the volume of a full rectangular prism l•w•h, or 8x4x3, which is 96. Divide that in half to find the volume of the triangular prism (96/2=48). Because no units appear on the diagram, the volume is 48 cubic units. Peace!
User Danferth
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2.5k points
18 votes
18 votes

Explanation:

0.5×3×4= 6cm^2

6×8

=48cm^3

User Ruhungry
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2.7k points