Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Chapter 12.5, Problem 8PPS
To determine

To find: the lateral and surface area of the given prism.

Expert Solution & Answer
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Answer to Problem 8PPS

The lateral area of the triangular prism is 540yd2 and the surface area of the triangular prism is 1152yd2 .

Explanation of Solution

Given:

  Pre-Algebra Student Edition, Chapter 12.5, Problem 8PPS

Formula used:

The lateral area L of a triangular prism is, L=Ph .

The surface area S of a triangular prism is, S=L+2B .

Calculation:

The given figure is a triangular prism.

The objective is to find the lateral and surface area of the triangular prism.

The lateral area L of a triangular prism is, L=Ph .

Here, P is the perimeter of the base of the triangle and h is the height the triangular prism.

The surface area S of a triangular prism is, S=L+2B .

Here, L is the lateral area and B is the area of the triangular base.

Find the lateral area of the triangular prism as follows:

The base of the prism is a triangle whose sides are 51 yd, 20 yd and 37 yd.

The perimeter P of the base of the prism is, P=(l1+l2+l3) .

Here, l1,l2,l3 are sides of the triangle.

  P=(l1+l2+l3)=51+20+37=108

Substitute P = 108 and h = 5 in L=Ph

  L=Ph=(108)(5)=540

Therefore, the lateral area of the triangular prism is 540yd2 .

Find the surface area of the triangular prism is,

Find the area B of the base of the prism is, B=12ba .

Here, b is the base and a is the height of the triangle.

  B=12ba=12(51)(126)=516=306

Substitute B=306 and L=540 in S=L+2B

  S=L+2B=540+2(306)=540+612=1152

Therefore, the surface area of the triangular prism is 1152yd2 .

Conclusion:

Therefore, the lateral area of the triangular prism is 540yd2 and the surface area of the triangular prism is 1152yd2 .

Chapter 12 Solutions

Pre-Algebra Student Edition

Ch. 12.1 - Prob. 7PPSCh. 12.1 - Prob. 8PPSCh. 12.1 - Prob. 9PPSCh. 12.1 - Prob. 10PPSCh. 12.1 - Prob. 11PPSCh. 12.1 - Prob. 12PPSCh. 12.1 - Prob. 13PPSCh. 12.1 - Prob. 14PPSCh. 12.1 - Prob. 15PPSCh. 12.1 - Prob. 16PPSCh. 12.1 - Prob. 17PPSCh. 12.1 - Prob. 18PPSCh. 12.1 - Prob. 19PPSCh. 12.1 - Prob. 20PPSCh. 12.1 - Prob. 21PPSCh. 12.1 - Prob. 22HPCh. 12.1 - Prob. 23HPCh. 12.1 - Prob. 24HPCh. 12.1 - Prob. 25HPCh. 12.1 - Prob. 26HPCh. 12.1 - Prob. 27HPCh. 12.1 - Prob. 28HPCh. 12.1 - Prob. 29STPCh. 12.1 - Prob. 30STPCh. 12.1 - Prob. 31STPCh. 12.1 - Prob. 32STPCh. 12.1 - Prob. 33SRCh. 12.1 - Prob. 34SRCh. 12.1 - Prob. 35SRCh. 12.1 - Prob. 36SRCh. 12.1 - Prob. 37SCh. 12.1 - Prob. 38SCh. 12.1 - Prob. 39SCh. 12.2 - Prob. 1GPCh. 12.2 - Prob. 2AGPCh. 12.2 - Prob. 2BGPCh. 12.2 - Prob. 3GPCh. 12.2 - Prob. 4GPCh. 12.2 - Prob. 1CYUCh. 12.2 - Prob. 2CYUCh. 12.2 - Prob. 3CYUCh. 12.2 - Prob. 4CYUCh. 12.2 - Prob. 5PPSCh. 12.2 - Prob. 6PPSCh. 12.2 - Prob. 7PPSCh. 12.2 - Prob. 8PPSCh. 12.2 - Prob. 9PPSCh. 12.2 - Prob. 10PPSCh. 12.2 - Prob. 11PPSCh. 12.2 - Prob. 12PPSCh. 12.2 - Prob. 13PPSCh. 12.2 - Prob. 14PPSCh. 12.2 - Prob. 15PPSCh. 12.2 - Prob. 16PPSCh. 12.2 - Prob. 17PPSCh. 12.2 - Prob. 18PPSCh. 12.2 - Prob. 19PPSCh. 12.2 - Prob. 20PPSCh. 12.2 - Prob. 21PPSCh. 12.2 - Prob. 22PPSCh. 12.2 - Prob. 23PPSCh. 12.2 - Prob. 24PPSCh. 12.2 - Prob. 25PPSCh. 12.2 - Prob. 26PPSCh. 12.2 - Prob. 27PPSCh. 12.2 - Prob. 28HPCh. 12.2 - Prob. 29HPCh. 12.2 - Prob. 30HPCh. 12.2 - Prob. 31HPCh. 12.2 - Prob. 32HPCh. 12.2 - Prob. 33HPCh. 12.2 - Prob. 34STPCh. 12.2 - Prob. 35STPCh. 12.2 - Prob. 36STPCh. 12.2 - Prob. 37STPCh. 12.2 - Prob. 38SRCh. 12.2 - Prob. 39SRCh. 12.2 - Prob. 40SRCh. 12.2 - Prob. 41SRCh. 12.2 - Prob. 42SRCh. 12.2 - Prob. 43SCh. 12.2 - Prob. 44SCh. 12.2 - Prob. 45SCh. 12.3 - Prob. 1AGPCh. 12.3 - Prob. 1BGPCh. 12.3 - Prob. 2GPCh. 12.3 - Prob. 3GPCh. 12.3 - Prob. 1CYUCh. 12.3 - Prob. 2CYUCh. 12.3 - Prob. 3CYUCh. 12.3 - Prob. 4CYUCh. 12.3 - Prob. 5CYUCh. 12.3 - Prob. 6PPSCh. 12.3 - Prob. 7PPSCh. 12.3 - Prob. 8PPSCh. 12.3 - Prob. 9PPSCh. 12.3 - Prob. 10PPSCh. 12.3 - Prob. 11PPSCh. 12.3 - Prob. 12PPSCh. 12.3 - Prob. 13PPSCh. 12.3 - Prob. 14PPSCh. 12.3 - Prob. 15PPSCh. 12.3 - Prob. 16PPSCh. 12.3 - Prob. 17PPSCh. 12.3 - Prob. 18PPSCh. 12.3 - Prob. 19PPSCh. 12.3 - Prob. 20PPSCh. 12.3 - Prob. 21PPSCh. 12.3 - Prob. 22PPSCh. 12.3 - Prob. 23HPCh. 12.3 - Prob. 24HPCh. 12.3 - Prob. 25HPCh. 12.3 - Prob. 26HPCh. 12.3 - Prob. 27STPCh. 12.3 - Prob. 28STPCh. 12.3 - Prob. 29STPCh. 12.3 - Prob. 30STPCh. 12.3 - Prob. 31SRCh. 12.3 - Prob. 32SRCh. 12.3 - Prob. 33SRCh. 12.3 - Prob. 34SRCh. 12.3 - Prob. 35SRCh. 12.3 - Prob. 36SRCh. 12.3 - Prob. 37SRCh. 12.3 - Prob. 38SRCh. 12.3 - Prob. 39SCh. 12.3 - Prob. 40SCh. 12.3 - Prob. 41SCh. 12.4 - Prob. 1GPCh. 12.4 - Prob. 2AGPCh. 12.4 - Prob. 2BGPCh. 12.4 - Prob. 3GPCh. 12.4 - Prob. 4GPCh. 12.4 - Prob. 1CYUCh. 12.4 - Prob. 2CYUCh. 12.4 - Prob. 3CYUCh. 12.4 - Prob. 4CYUCh. 12.4 - Prob. 5CYUCh. 12.4 - Prob. 6PPSCh. 12.4 - Prob. 7PPSCh. 12.4 - Prob. 8PPSCh. 12.4 - Prob. 9PPSCh. 12.4 - Prob. 10PPSCh. 12.4 - Prob. 11PPSCh. 12.4 - Prob. 12PPSCh. 12.4 - Prob. 13PPSCh. 12.4 - Prob. 14PPSCh. 12.4 - Prob. 15PPSCh. 12.4 - Prob. 16PPSCh. 12.4 - Prob. 17PPSCh. 12.4 - Prob. 18PPSCh. 12.4 - Prob. 19PPSCh. 12.4 - Prob. 20PPSCh. 12.4 - Prob. 21PPSCh. 12.4 - Prob. 22PPSCh. 12.4 - Prob. 23PPSCh. 12.4 - Prob. 24PPSCh. 12.4 - Prob. 25PPSCh. 12.4 - Prob. 26HPCh. 12.4 - Prob. 27HPCh. 12.4 - Prob. 28HPCh. 12.4 - Prob. 29HPCh. 12.4 - Prob. 30HPCh. 12.4 - Prob. 31HPCh. 12.4 - Prob. 32STPCh. 12.4 - Prob. 33STPCh. 12.4 - Prob. 34STPCh. 12.4 - Prob. 35STPCh. 12.4 - Prob. 36SRCh. 12.4 - Prob. 37SRCh. 12.4 - Prob. 38SRCh. 12.4 - Prob. 39SRCh. 12.4 - Prob. 40SRCh. 12.4 - Prob. 41SRCh. 12.4 - Prob. 42SCh. 12.4 - Prob. 43SCh. 12.4 - Prob. 44SCh. 12.5 - Prob. 1AGPCh. 12.5 - Prob. 1BGPCh. 12.5 - Prob. 2GPCh. 12.5 - Prob. 1CYUCh. 12.5 - Prob. 2CYUCh. 12.5 - Prob. 3CYUCh. 12.5 - Prob. 4CYUCh. 12.5 - Prob. 5PPSCh. 12.5 - Prob. 6PPSCh. 12.5 - Prob. 7PPSCh. 12.5 - Prob. 8PPSCh. 12.5 - Prob. 9PPSCh. 12.5 - Prob. 10PPSCh. 12.5 - Prob. 11PPSCh. 12.5 - Prob. 12PPSCh. 12.5 - Prob. 13PPSCh. 12.5 - Prob. 14PPSCh. 12.5 - Prob. 15PPSCh. 12.5 - Prob. 16PPSCh. 12.5 - Prob. 17PPSCh. 12.5 - Prob. 18HPCh. 12.5 - Prob. 19HPCh. 12.5 - Prob. 20HPCh. 12.5 - Prob. 21HPCh. 12.5 - Prob. 22HPCh. 12.5 - Prob. 23STPCh. 12.5 - Prob. 24STPCh. 12.5 - Prob. 25STPCh. 12.5 - Prob. 26STPCh. 12.5 - Prob. 27SRCh. 12.5 - Prob. 28SRCh. 12.5 - Prob. 29SRCh. 12.5 - Prob. 30SRCh. 12.5 - Prob. 31SRCh. 12.5 - Prob. 32SRCh. 12.5 - Prob. 33SRCh. 12.5 - Prob. 34SRCh. 12.5 - Prob. 35SCh. 12.5 - Prob. 36SCh. 12.5 - Prob. 37SCh. 12.6 - Prob. 1GPCh. 12.6 - Prob. 2GPCh. 12.6 - Prob. 1CYUCh. 12.6 - Prob. 2CYUCh. 12.6 - Prob. 3CYUCh. 12.6 - Prob. 4CYUCh. 12.6 - Prob. 5PPSCh. 12.6 - Prob. 6PPSCh. 12.6 - Prob. 7PPSCh. 12.6 - Prob. 8PPSCh. 12.6 - Prob. 9PPSCh. 12.6 - Prob. 10PPSCh. 12.6 - Prob. 11PPSCh. 12.6 - Prob. 12PPSCh. 12.6 - Prob. 13PPSCh. 12.6 - Prob. 14PPSCh. 12.6 - Prob. 15PPSCh. 12.6 - Prob. 16PPSCh. 12.6 - Prob. 17PPSCh. 12.6 - Prob. 18PPSCh. 12.6 - Prob. 19HPCh. 12.6 - Prob. 20HPCh. 12.6 - Prob. 21HPCh. 12.6 - Prob. 22STPCh. 12.6 - Prob. 23STPCh. 12.6 - Prob. 24STPCh. 12.6 - Prob. 25STPCh. 12.6 - Prob. 26SRCh. 12.6 - Prob. 27SRCh. 12.6 - Prob. 28SRCh. 12.6 - Prob. 29SRCh. 12.6 - Prob. 30SRCh. 12.6 - Prob. 31SRCh. 12.6 - Prob. 32SRCh. 12.6 - Prob. 33SRCh. 12.6 - Prob. 34SRCh. 12.6 - Prob. 35SRCh. 12.6 - Prob. 36SRCh. 12.6 - Prob. 37SRCh. 12.6 - Prob. 38SCh. 12.6 - Prob. 39SCh. 12.6 - Prob. 40SCh. 12.6 - Prob. 41SCh. 12.6 - Prob. 42SCh. 12.6 - Prob. 43SCh. 12.7 - Prob. 1GPCh. 12.7 - Prob. 2GPCh. 12.7 - Prob. 3GPCh. 12.7 - Prob. 1CYUCh. 12.7 - Prob. 2CYUCh. 12.7 - Prob. 3CYUCh. 12.7 - Prob. 4CYUCh. 12.7 - Prob. 5PPSCh. 12.7 - Prob. 6PPSCh. 12.7 - Prob. 7PPSCh. 12.7 - Prob. 8PPSCh. 12.7 - Prob. 9PPSCh. 12.7 - Prob. 10PPSCh. 12.7 - Prob. 11PPSCh. 12.7 - Prob. 12PPSCh. 12.7 - Prob. 13PPSCh. 12.7 - Prob. 14PPSCh. 12.7 - Prob. 15PPSCh. 12.7 - Prob. 16PPSCh. 12.7 - Prob. 17PPSCh. 12.7 - Prob. 18PPSCh. 12.7 - Prob. 19PPSCh. 12.7 - Prob. 20PPSCh. 12.7 - Prob. 21PPSCh. 12.7 - Prob. 22PPSCh. 12.7 - Prob. 23HPCh. 12.7 - Prob. 24HPCh. 12.7 - Prob. 25HPCh. 12.7 - Prob. 26HPCh. 12.7 - Prob. 27STPCh. 12.7 - Prob. 28STPCh. 12.7 - Prob. 29STPCh. 12.7 - Prob. 30STPCh. 12.7 - Prob. 31SRCh. 12.7 - Prob. 32SRCh. 12.7 - Prob. 33SRCh. 12.7 - Prob. 34SRCh. 12.7 - Prob. 35SRCh. 12.7 - Prob. 36SRCh. 12.7 - Prob. 37SCh. 12.7 - Prob. 38SCh. 12.7 - Prob. 39SCh. 12.7 - Prob. 40SCh. 12.7 - Prob. 41SCh. 12.7 - Prob. 42SCh. 12.8 - Prob. 1AGPCh. 12.8 - Prob. 1BGPCh. 12.8 - Prob. 2GPCh. 12.8 - Prob. 3GPCh. 12.8 - Prob. 4GPCh. 12.8 - Prob. 1CYUCh. 12.8 - Prob. 2CYUCh. 12.8 - Prob. 3CYUCh. 12.8 - Prob. 4CYUCh. 12.8 - Prob. 5CYUCh. 12.8 - Prob. 6CYUCh. 12.8 - Prob. 7PPSCh. 12.8 - Prob. 8PPSCh. 12.8 - Prob. 9PPSCh. 12.8 - Prob. 10PPSCh. 12.8 - Prob. 11PPSCh. 12.8 - Prob. 12PPSCh. 12.8 - Prob. 13PPSCh. 12.8 - Prob. 14PPSCh. 12.8 - Prob. 15PPSCh. 12.8 - Prob. 16PPSCh. 12.8 - Prob. 17PPSCh. 12.8 - Prob. 18PPSCh. 12.8 - Prob. 19PPSCh. 12.8 - Prob. 20PPSCh. 12.8 - Prob. 21PPSCh. 12.8 - Prob. 22HPCh. 12.8 - Prob. 23HPCh. 12.8 - Prob. 24HPCh. 12.8 - Prob. 25HPCh. 12.8 - Prob. 26HPCh. 12.8 - Prob. 27HPCh. 12.8 - Prob. 28STPCh. 12.8 - Prob. 29STPCh. 12.8 - Prob. 30STPCh. 12.8 - Prob. 31STPCh. 12.8 - Prob. 32SRCh. 12.8 - Prob. 33SRCh. 12.8 - Prob. 34SRCh. 12.8 - Prob. 35SRCh. 12.8 - Prob. 36SCh. 12.8 - Prob. 37SCh. 12.8 - Prob. 38SCh. 12 - Prob. 1QCCh. 12 - Prob. 2QCCh. 12 - Prob. 3QCCh. 12 - Prob. 4QCCh. 12 - Prob. 5QCCh. 12 - Prob. 6QCCh. 12 - Prob. 7QCCh. 12 - Prob. 8QCCh. 12 - Prob. 9QCCh. 12 - Prob. 10QCCh. 12 - Prob. 11QCCh. 12 - Prob. 12QCCh. 12 - Prob. 13QCCh. 12 - Prob. 1MCQCh. 12 - Prob. 2MCQCh. 12 - Prob. 3MCQCh. 12 - Prob. 4MCQCh. 12 - Prob. 5MCQCh. 12 - Prob. 6MCQCh. 12 - Prob. 7MCQCh. 12 - Prob. 8MCQCh. 12 - Prob. 9MCQCh. 12 - Prob. 10MCQCh. 12 - Prob. 11MCQCh. 12 - Prob. 12MCQCh. 12 - Prob. 13MCQCh. 12 - Prob. 14MCQCh. 12 - Prob. 15MCQCh. 12 - Prob. 16MCQCh. 12 - Prob. 1SGRCh. 12 - Prob. 2SGRCh. 12 - Prob. 3SGRCh. 12 - Prob. 4SGRCh. 12 - Prob. 5SGRCh. 12 - Prob. 6SGRCh. 12 - Prob. 7SGRCh. 12 - Prob. 8SGRCh. 12 - Prob. 9SGRCh. 12 - Prob. 10SGRCh. 12 - Prob. 11SGRCh. 12 - Prob. 12SGRCh. 12 - Prob. 13SGRCh. 12 - Prob. 14SGRCh. 12 - Prob. 15SGRCh. 12 - Prob. 16SGRCh. 12 - Prob. 17SGRCh. 12 - Prob. 18SGRCh. 12 - Prob. 19SGRCh. 12 - Prob. 20SGRCh. 12 - Prob. 21SGRCh. 12 - Prob. 22SGRCh. 12 - Prob. 23SGRCh. 12 - Prob. 24SGRCh. 12 - Prob. 25SGRCh. 12 - Prob. 26SGRCh. 12 - Prob. 27SGRCh. 12 - Prob. 28SGRCh. 12 - Prob. 29SGRCh. 12 - Prob. 30SGRCh. 12 - Prob. 31SGRCh. 12 - Prob. 32SGRCh. 12 - Prob. 33SGRCh. 12 - Prob. 34SGRCh. 12 - Prob. 35SGRCh. 12 - Prob. 36SGRCh. 12 - Prob. 37SGRCh. 12 - Prob. 38SGRCh. 12 - Prob. 39SGRCh. 12 - Prob. 40SGRCh. 12 - Prob. 41SGRCh. 12 - Prob. 42SGRCh. 12 - Prob. 1PTCh. 12 - Prob. 2PTCh. 12 - Prob. 3PTCh. 12 - Prob. 4PTCh. 12 - Prob. 5PTCh. 12 - Prob. 6PTCh. 12 - Prob. 7PTCh. 12 - Prob. 8PTCh. 12 - Prob. 9PTCh. 12 - Prob. 10PTCh. 12 - Prob. 11PTCh. 12 - Prob. 12PTCh. 12 - Prob. 13PTCh. 12 - Prob. 14PTCh. 12 - Prob. 15PTCh. 12 - Prob. 16PTCh. 12 - Prob. 17PTCh. 12 - Prob. 18PTCh. 12 - Prob. 1ECh. 12 - Prob. 2ECh. 12 - Prob. 1STPCh. 12 - Prob. 2STPCh. 12 - Prob. 3STPCh. 12 - Prob. 4STPCh. 12 - Prob. 5STPCh. 12 - Prob. 6STPCh. 12 - Prob. 7STPCh. 12 - Prob. 8STPCh. 12 - Prob. 9STPCh. 12 - Prob. 10STPCh. 12 - Prob. 11STPCh. 12 - Prob. 12STPCh. 12 - Prob. 13STP
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