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Chapter 12: Q35. (page 480)

A right prism has height x and bases that are equilateral triangles with sides x. Show that the volume is14x33.

Short Answer

Expert verified

The volume of the prism is14x33 .

Step by step solution

01

Step 1. Given information.

Right prism height is x and base have equilateral triangles with side x.

02

Step 2. Write the concept.

Since base have equilateral triangles, then

B=34x2

03

Step 3. Determine the volume.

Now, the volume of the right prism is:

v=Bh=34x2(x)[substitute]=14x33[multiply]

This is the required expression.

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