Chapter 12: Q1. (page 485)

Copy and complete the table below for the regular square pyramid.
$\begin{matrix} Height, h & 4 \\ Slant Height, l & 5 \\ Base edge \\ Lateral edge \end{matrix}$

Short Answer

Expert verified

$\begin{matrix} Height, h & 4 \\ Slant Height, l & 5 \\ Base edge & 6 \\ Lateral edge & \sqrt{34} \end{matrix}$

Step by step solution

Step 1. Given information.

The height and slant height of a regular square pyramid are 4 and 5 unit respectively.

Step 2. Write the concept.

The base edge is given by:

$Baseedge = 2 \sqrt{{(l)}^{2} - {(h)}^{2}}$

And the lateral edge is given by:

$lateraledge = \sqrt{{(l)}^{2} + {(\frac{baseedge}{2})}^{2}}$

Step 3. Determine the values.

Substitute all the given values in the formula.

$\begin{matrix} Baseedge = 2 \sqrt{{(5)}^{2} - {(4)}^{2}} [substitute] \\ = 2 \sqrt{25 - 16} [square] \\ = 2 \sqrt{9} [subtract] \\ = 6[simplify] \end{matrix}$

And

$\begin{matrix} Lateraledge = \sqrt{{(5)}^{2} + {(3)}^{2}} [substitute] \\ = \sqrt{34} \end{matrix}$

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Copy and complete the table below for the regular square pyramid.
$\begin{matrix} Height, h & 4 \\ Slant Height, l & 5 \\ Base edge \\ Lateral edge \end{matrix}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Determine the values.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Applied Mathematics

Calculus

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Copy and complete the table below for the regular square pyramid.Height, h4Slant Height, l5Base edgeLateral edge

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Determine the values.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Applied Mathematics

Calculus

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Copy and complete the table below for the regular square pyramid.
$\begin{matrix} Height, h & 4 \\ Slant Height, l & 5 \\ Base edge \\ Lateral edge \end{matrix}$