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

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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

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