/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q82. GEOMETRY82. 82. The formula for ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

GEOMETRY

82. 82. The formula for the surface area SA of a rectangular prism is SA=2lw+2lh+2wh, where l represents length, w represents width, and h represents height. Find the surface area of the rectangular prism.

Short Answer

Expert verified

Surface area of rectangular prism is 358square inches

Step by step solution

01

- Order for simplification 

To evaluate any expression involving more than one operation, follow the below order of operations:

  • First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
  • Evaluate the exponents.
  • Perform Multiplication and division from left to right.
  • Perform addition and subtraction from left to right.
02

- Observation from image

From image, length of rectangular prism is 12 in. Its breadth is 5 in. and height is 7 in.

Substitute 12 for l, 5 for b, and 7 for h in given equation of surface area.

SA=212×5+212×7+25×7

03

- Simplify expression inside grouping symbol

To evaluate the value of the given expression, first use distributive property ab+ac=ab+c, then simplify the expression inside the parenthesis as shown below

SA=212×5+212×7+25×7=212×5+12×7+5×7=260+84+35=2179

04

- Multiply 2 with 179

Now, to simplify further multiply the numbers to get

SA=2×179=358

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.