Chapter 9.1, Problem 16E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m.

a) Find the lateral area of the prism.

b) Find the total area of the prism.

c) Find the volume of the prism.

To determine

a)

**To answer:**

The lateral area of the prism.

In the accompanying right triangular prism, each base edge measures 4

The altitude is 7

Explanation

The lateral area of any solid is the area of all the number of lateral sides that it have, excluding the area of the top and the bottom of the solid.

The lateral area

Here,

**Calculation:**

Given,

The measure of the base edges of the triangular prism

The altitude of the prism

The lateral area of any prism of altitude â€˜

Here, we have

First, let us find the perimeter of the base of the prism

To determine

b)

**To answer:**

The total area of the prism.

In the accompanying right triangular prism, each base edge measures 4

The altitude is 7

To determine

c)

**To answer:**

The volume of the prism.

In the accompanying right triangular prism, each base edge measures 4

The altitude is 7

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