Answer 11250 ft 2 Explanation Given Information: 2 Pyramids are given Pyramid 1 Base b = 45 ft. and Slant Height s = 30 ft. Pyramid 2 Base b = 45 ft. and Slant Height s = 50 ft. Formula Used: Surface area of square pyramid = 2 ( b × s ) + b 2 , Total Surface area of pyramid = Surface area of first pyramid + Surface area of second pyramid Calculation: Total Surface area of pyramid = Surface area of first pyramid + Surface area of second pyramid Surface area of square pyramid = 2 ( b × s ) + b 2 FIRST PYRAMID- Surface area of first square pyramid = 2 ( b × s ) + b 2 Base b = 45 ft. and Slant Height s = 30 ft. Now put the value of b and s to find Surface area of first square pyramid Surface area of first square pyramid = 2 ( 45 × 30 ) + 45 2 ft 2 SECOND PYRAMID- Surface area of second square pyramid = 2 ( b × s ) + b 2 Base b = 45 ft. and Slant Height s = 50 ft. Now put the value of b and s to find Surface area of second square pyramid Surface area of second square pyramid = 2 ( 45 × 50 ) + 45 2 ft 2 Total Surface Area of Pyramid Total Surface area of pyramid = Surface area of first pyramid + Surface area of second pyramid Now put the value of Surface area of first pyramid and Surface area of second pyramid So, Total Surface area of pyramid = 2 ( 45 × 30 ) + 45 2 ft 2 + 2 ( 45 × 50 ) + 45 2 ft 2 So, Total Surface area of pyramid = 2 ( 1350 ) + 2025 ft 2 + 2 ( 2250 ) + 2025 ft 2 So, Surface area of square pyramid = 4725 + 6525 ft 2 Hence, Total Surface area of square pyramid = 11250 ft 2

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

See similar textbooks

Concept explainers

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is dr…

Videos

Question

Chapter 10.6, Problem 32E

To determine

To calculate the surface area of pyramid.

Expert Solution & Answer

Answer to Problem 32E

11250 ft²

Explanation of Solution

Given Information: 2 Pyramids are given Pyramid 1 Base b = 45 ft. and Slant Height s = 30 ft.

Pyramid 2 Base b = 45 ft. and Slant Height s = 50 ft.

Formula Used:

Surface area of square pyramid = 2(b×s) + b2 ,

Total Surface area of pyramid = Surface area of first pyramid + Surface area of second pyramid

Calculation:

Total Surface area of pyramid = Surface area of first pyramid + Surface area of second pyramid

Surface area of square pyramid = 2(b×s) + b2

FIRST PYRAMID-

Surface area of first square pyramid = 2(b×s) + b2

Base b = 45 ft. and Slant Height s = 30 ft.

Now put the value of b and s to find Surface area of first square pyramid

Surface area of first square pyramid = 2(45×30) + 452 ft²

SECOND PYRAMID-

Surface area of second square pyramid = 2(b×s) + b2

Base b = 45 ft. and Slant Height s = 50 ft.

Now put the value of b and s to find Surface area of second square pyramid

Surface area of second square pyramid = 2(45×50) + 452 ft²

Total Surface Area of Pyramid

Total Surface area of pyramid = Surface area of first pyramid + Surface area of second pyramid

Now put the value of Surface area of first pyramid and Surface area of second pyramid

So,

Total Surface area of pyramid = 2(45×30) + 452 ft² + 2(45×50) + 452 ft²

So,

Total Surface area of pyramid = 2(1350) + 2025 ft² + 2(2250) + 2025 ft²

So,

Surface area of square pyramid = 4725+ 6525 ft²

Hence,

Total Surface area of square pyramid = 11250 ft²

Chapter 10.6, Problem 31E

Chapter 10.6, Problem 33E

Chapter 10 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 10.1 - Prob. 1C Ch. 10.1 - Prob. 2C Ch. 10.1 - Prob. 3C Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E

Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.2 - Prob. 1C Ch. 10.2 - Prob. 2C Ch. 10.2 - Prob. 3C Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - Prob. 21E Ch. 10.2 - Prob. 22E Ch. 10.2 - Prob. 23E Ch. 10.2 - Prob. 24E Ch. 10.2 - Prob. 25E Ch. 10.2 - Prob. 26E Ch. 10.2 - Prob. 27E Ch. 10.2 - Prob. 28E Ch. 10.2 - Prob. 29E Ch. 10.3 - Prob. 1C Ch. 10.3 - Prob. 2C Ch. 10.3 - Prob. 3C Ch. 10.3 - Prob. 4C Ch. 10.3 - Prob. 1E Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - Prob. 10E Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - Prob. 13E Ch. 10.3 - Prob. 14E Ch. 10.3 - Prob. 15E Ch. 10.3 - Prob. 16E Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Prob. 19E Ch. 10.3 - Prob. 20E Ch. 10.3 - Prob. 21E Ch. 10.3 - Prob. 22E Ch. 10.3 - Prob. 23E Ch. 10.3 - Prob. 24E Ch. 10.3 - Prob. 25E Ch. 10.3 - Prob. 26E Ch. 10.3 - Prob. 27E Ch. 10.3 - Prob. 28E Ch. 10.3 - Prob. 29E Ch. 10.3 - Prob. 30E Ch. 10.3 - Prob. 31E Ch. 10.3 - Prob. 32E Ch. 10.3 - Prob. 33E Ch. 10.3 - Prob. 34E Ch. 10.3 - Prob. 35E Ch. 10.3 - Prob. 36E Ch. 10.3 - Prob. 37E Ch. 10.3 - Prob. 38E Ch. 10.3 - Prob. 39E Ch. 10.3 - Prob. 40E Ch. 10.3 - Prob. 41E Ch. 10.3 - Prob. 42E Ch. 10.3 - Prob. 43E Ch. 10.4 - Prob. 1C Ch. 10.4 - Prob. 2C Ch. 10.4 - Prob. 3C Ch. 10.4 - Prob. 4C Ch. 10.4 - Prob. 5C Ch. 10.4 - Prob. 6C Ch. 10.4 - Prob. 7C Ch. 10.4 - Prob. 8C Ch. 10.4 - Prob. 1E Ch. 10.4 - Prob. 2E Ch. 10.4 - Prob. 3E Ch. 10.4 - Prob. 4E Ch. 10.4 - Prob. 5E Ch. 10.4 - Prob. 6E Ch. 10.4 - Prob. 7E Ch. 10.4 - Prob. 8E Ch. 10.4 - Prob. 9E Ch. 10.4 - Prob. 10E Ch. 10.4 - Prob. 11E Ch. 10.4 - Prob. 12E Ch. 10.4 - Prob. 13E Ch. 10.4 - Prob. 14E Ch. 10.4 - Prob. 15E Ch. 10.4 - Prob. 16E Ch. 10.4 - Prob. 17E Ch. 10.4 - Prob. 18E Ch. 10.4 - Prob. 19E Ch. 10.4 - Prob. 20E Ch. 10.4 - Prob. 21E Ch. 10.4 - Prob. 22E Ch. 10.4 - Prob. 23E Ch. 10.4 - Prob. 24E Ch. 10.4 - Prob. 25E Ch. 10.4 - Prob. 26E Ch. 10.4 - Prob. 27E Ch. 10.4 - Prob. 28E Ch. 10.4 - Prob. 29E Ch. 10.4 - Prob. 30E Ch. 10.4 - Prob. 31E Ch. 10.4 - Prob. 32E Ch. 10.4 - Prob. 33E Ch. 10.4 - Prob. 34E Ch. 10.4 - Prob. 35E Ch. 10.4 - Prob. 36E Ch. 10.4 - Prob. 37E Ch. 10.4 - Prob. 38E Ch. 10.4 - Prob. 39E Ch. 10.4 - Prob. 40E Ch. 10.4 - Prob. 41E Ch. 10.4 - Prob. 42E Ch. 10.4 - Prob. 43E Ch. 10.4 - Prob. 44E Ch. 10.4 - Prob. 45E Ch. 10.5 - Prob. 1C Ch. 10.5 - Prob. 2C Ch. 10.5 - Prob. 1E Ch. 10.5 - Prob. 2E Ch. 10.5 - Prob. 3E Ch. 10.5 - Prob. 4E Ch. 10.5 - Prob. 5E Ch. 10.5 - Prob. 6E Ch. 10.5 - Prob. 7E Ch. 10.5 - Prob. 8E Ch. 10.5 - Prob. 9E Ch. 10.5 - Prob. 10E Ch. 10.5 - Prob. 11E Ch. 10.5 - Prob. 12E Ch. 10.5 - Prob. 13E Ch. 10.5 - Prob. 14E Ch. 10.5 - Prob. 15E Ch. 10.5 - Prob. 16E Ch. 10.5 - Prob. 17E Ch. 10.5 - Prob. 19E Ch. 10.5 - Prob. 20E Ch. 10.5 - Prob. 21E Ch. 10.5 - Prob. 22E Ch. 10.5 - Prob. 23E Ch. 10.5 - Prob. 24E Ch. 10.5 - Prob. 25E Ch. 10.5 - Prob. 26E Ch. 10.5 - Prob. 27E Ch. 10.5 - Prob. 28E Ch. 10.5 - Prob. 29E Ch. 10.5 - Prob. 30E Ch. 10.5 - Prob. 31E Ch. 10.6 - Prob. 1C Ch. 10.6 - Prob. 2C Ch. 10.6 - Prob. 1E Ch. 10.6 - Prob. 2E Ch. 10.6 - Prob. 3E Ch. 10.6 - Prob. 4E Ch. 10.6 - Prob. 5E Ch. 10.6 - Prob. 6E Ch. 10.6 - Prob. 7E Ch. 10.6 - Prob. 8E Ch. 10.6 - Prob. 9E Ch. 10.6 - Prob. 10E Ch. 10.6 - Prob. 11E Ch. 10.6 - Prob. 12E Ch. 10.6 - Prob. 13E Ch. 10.6 - Prob. 14E Ch. 10.6 - Prob. 15E Ch. 10.6 - Prob. 16E Ch. 10.6 - Prob. 17E Ch. 10.6 - Prob. 18E Ch. 10.6 - Prob. 19E Ch. 10.6 - Prob. 20E Ch. 10.6 - Prob. 21E Ch. 10.6 - Prob. 22E Ch. 10.6 - Prob. 23E Ch. 10.6 - Prob. 24E Ch. 10.6 - Prob. 25E Ch. 10.6 - Prob. 26E Ch. 10.6 - Prob. 27E Ch. 10.6 - Prob. 28E Ch. 10.6 - Prob. 29E Ch. 10.6 - Prob. 31E Ch. 10.6 - Prob. 32E Ch. 10.6 - Prob. 33E Ch. 10.6 - Prob. 34E Ch. 10.6 - Prob. 35E Ch. 10.6 - Prob. 36E Ch. 10.6 - Prob. 37E Ch. 10.6 - Prob. 38E Ch. 10.6 - Prob. 39E Ch. 10.6 - Prob. 40E Ch. 10.6 - Prob. 41E Ch. 10.7 - Prob. 1C Ch. 10.7 - Prob. 2C Ch. 10.7 - Prob. 3C Ch. 10.7 - Prob. 4C Ch. 10.7 - Prob. 1E Ch. 10.7 - Prob. 2E Ch. 10.7 - Prob. 3E Ch. 10.7 - Prob. 4E Ch. 10.7 - Prob. 5E Ch. 10.7 - Prob. 6E Ch. 10.7 - Prob. 7E Ch. 10.7 - Prob. 8E Ch. 10.7 - Prob. 9E Ch. 10.7 - Prob. 10E Ch. 10.7 - Prob. 11E Ch. 10.7 - Prob. 12E Ch. 10.7 - Prob. 13E Ch. 10.7 - Prob. 14E Ch. 10.7 - Prob. 15E Ch. 10.7 - Prob. 16E Ch. 10.7 - Prob. 17E Ch. 10.7 - Prob. 18E Ch. 10.7 - Prob. 19E Ch. 10.7 - Prob. 20E Ch. 10.7 - Prob. 21E Ch. 10.7 - Prob. 22E Ch. 10.7 - Prob. 23E Ch. 10.7 - Prob. 24E Ch. 10.7 - Prob. 25E Ch. 10.7 - Prob. 26E Ch. 10.7 - Prob. 27E Ch. 10.7 - Prob. 28E Ch. 10.7 - Prob. 29E Ch. 10.7 - Prob. 30E Ch. 10.7 - Prob. 31E Ch. 10.7 - Prob. 32E Ch. 10.8 - Prob. 1C Ch. 10.8 - Prob. 2C Ch. 10.8 - Prob. 3C Ch. 10.8 - Prob. 1E Ch. 10.8 - Prob. 2E Ch. 10.8 - Prob. 3E Ch. 10.8 - Prob. 4E Ch. 10.8 - Prob. 5E Ch. 10.8 - Prob. 6E Ch. 10.8 - Prob. 7E Ch. 10.8 - Prob. 8E Ch. 10.8 - Prob. 9E Ch. 10.8 - Prob. 10E Ch. 10.8 - Prob. 11E Ch. 10.8 - Prob. 12E Ch. 10.8 - Prob. 13E Ch. 10.8 - Prob. 14E Ch. 10.8 - Prob. 15E Ch. 10.8 - Prob. 16E Ch. 10.8 - Prob. 17E Ch. 10.8 - Prob. 18E Ch. 10.8 - Prob. 19E Ch. 10.8 - Prob. 20E Ch. 10.8 - Prob. 21E Ch. 10.8 - Prob. 22E Ch. 10.8 - Prob. 23E Ch. 10.8 - Prob. 24E Ch. 10.8 - Prob. 25E Ch. 10.8 - Prob. 26E Ch. 10.8 - Prob. 27E Ch. 10.8 - Prob. 28E Ch. 10.8 - Prob. 29E Ch. 10.8 - Prob. 30E Ch. 10.8 - Prob. 31E Ch. 10.8 - Prob. 32E Ch. 10.8 - Prob. 33E Ch. 10.8 - Prob. 34E Ch. 10 - Prob. 1PSQ Ch. 10 - Prob. 2PSQ Ch. 10 - Prob. 3PSQ Ch. 10 - Prob. 4PSQ Ch. 10 - Prob. 5PSQ Ch. 10 - Prob. 6PSQ Ch. 10 - Prob. 7PSQ Ch. 10 - Prob. 8PSQ Ch. 10 - Prob. 9PSQ Ch. 10 - Prob. 10PSQ Ch. 10 - Prob. 11PSQ Ch. 10 - Prob. 1MCQ Ch. 10 - Prob. 2MCQ Ch. 10 - Prob. 3MCQ Ch. 10 - Prob. 4MCQ Ch. 10 - Prob. 5MCQ Ch. 10 - Prob. 6MCQ Ch. 10 - Prob. 7MCQ Ch. 10 - Prob. 8MCQ Ch. 10 - Prob. 9MCQ Ch. 10 - Prob. 10MCQ Ch. 10 - Prob. 11MCQ Ch. 10 - Prob. 1CR Ch. 10 - Prob. 2CR Ch. 10 - Prob. 3CR Ch. 10 - Prob. 4CR Ch. 10 - Prob. 5CR Ch. 10 - Prob. 6CR Ch. 10 - Prob. 7CR Ch. 10 - Prob. 8CR Ch. 10 - Prob. 9CR Ch. 10 - Prob. 10CR Ch. 10 - Prob. 11CR Ch. 10 - Prob. 12CR Ch. 10 - Prob. 13CR Ch. 10 - Prob. 14CR Ch. 10 - Prob. 15CR Ch. 10 - Prob. 16CR Ch. 10 - Prob. 17CR Ch. 10 - Prob. 18CR Ch. 10 - Prob. 19CR Ch. 10 - Prob. 20CR Ch. 10 - Prob. 21CR Ch. 10 - Prob. 22CR Ch. 10 - Prob. 23CR Ch. 10 - Prob. 24CR Ch. 10 - Prob. 25CR Ch. 10 - Prob. 26CR Ch. 10 - Prob. 1CT Ch. 10 - Prob. 2CT Ch. 10 - Prob. 3CT Ch. 10 - Prob. 4CT Ch. 10 - Prob. 5CT Ch. 10 - Prob. 6CT Ch. 10 - Prob. 7CT Ch. 10 - Prob. 8CT Ch. 10 - Prob. 9CT Ch. 10 - Prob. 10CT Ch. 10 - Prob. 11CT Ch. 10 - Prob. 12CT Ch. 10 - Prob. 13CT Ch. 10 - Prob. 14CT Ch. 10 - Prob. 15CT Ch. 10 - Prob. 1CST Ch. 10 - Prob. 2CST Ch. 10 - Prob. 3CST Ch. 10 - Prob. 4CST Ch. 10 - Prob. 5CST Ch. 10 - Prob. 6CST Ch. 10 - Prob. 7CST Ch. 10 - Prob. 8CST Ch. 10 - Prob. 9CST Ch. 10 - Prob. 10CST Ch. 10 - Prob. 11CST Ch. 10 - Prob. 12CST Ch. 10 - Prob. 2PTTS Ch. 10 - Prob. 3PTTS Ch. 10 - Prob. 4PTTS Ch. 10 - Prob. 5PTTS Ch. 10 - Prob. 6PTTS Ch. 10 - Prob. 7PTTS Ch. 10 - Prob. 8PTTS Ch. 10 - Prob. 9PTTS Ch. 10 - Prob. 10PTTS Ch. 10 - Prob. 11PTTS Ch. 10 - Prob. 12PTTS Ch. 10 - Prob. 13PTTS Ch. 10 - Prob. 14PTTS Ch. 10 - Prob. 15PTTS Ch. 10 - Prob. 16PTTS Ch. 10 - Prob. 1CP Ch. 10 - Prob. 2CP Ch. 10 - Prob. 3CP Ch. 10 - Prob. 4CP Ch. 10 - Prob. 5CP Ch. 10 - Prob. 6CP Ch. 10 - Prob. 7CP Ch. 10 - Prob. 8CP Ch. 10 - Prob. 9CP Ch. 10 - Prob. 10CP Ch. 10 - Prob. 11CP Ch. 10 - Prob. 12CP Ch. 10 - Prob. 13CP Ch. 10 - Prob. 14CP Ch. 10 - Prob. 16CP Ch. 10 - Prob. 17CP Ch. 10 - Prob. 18CP Ch. 10 - Prob. 19CP Ch. 10 - Prob. 20CP Ch. 10 - Prob. 21CP Ch. 10 - Prob. 22CP Ch. 10 - Prob. 23CP Ch. 10 - Prob. 25CP Ch. 10 - Prob. 26CP Ch. 10 - Prob. 27CP Ch. 10 - Prob. 28CP Ch. 10 - Prob. 29CP Ch. 10 - Prob. 30CP Ch. 10 - Prob. 31CP Ch. 10 - Prob. 32CP Ch. 10 - Prob. 33CP Ch. 10 - Prob. 34CP

Additional Math Textbook Solutions

Find more solutions based on key concepts

Whether the requirements for a hypothesis test are satisfied or not.

Elementary Statistics

2. If 3 and 5 are the coordinates of two points on the real number line, the distance between these points is _...

Precalculus

Identifying Type I and Type II Errors In Exercises 31–36, describe type I and type II errors for a hypothesis t...

Elementary Statistics: Picturing the World (7th Edition)

Explore! Exercises 9 and 10 provide two data sets front “Graphs in Statistical Analysis” by E J. Anscombe, the ...

Elementary Statistics (13th Edition)

Explain why or why not Determine whether the following statements are true and give an explanation or counterex...

Calculus: Early Transcendentals (2nd Edition)

Explain the meaning of the term “statistically significant difference” in statistics terminology.

Intro Stats, Books a la Carte Edition (5th Edition)

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.