Chapter 12: Q3. (page 484)

V- ABCD is a regular square pyramid. Find the following numerical answers.
$l =___$

Short Answer

Expert verified

The length of l is $10 unit$ .

Step by step solution

Step 1. Given information.

The given $V - A B C D$ is a regular square pyramid.

Also, $A B = 12$ and $B C = 12$ .

Step 2. Determine the value.

The edge length of square base is 12 and height of pyramid is 8.

The length of $O M$ can be calculated as:

$\begin{matrix} O M = \frac{1}{2} A B \\ = \frac{1}{2} (12) \\ = 6 \end{matrix}$

In $Δ V O M$ , apply Pythagoras Theorem to calculate the slant height.

$\begin{matrix} {(V O)}^{2} + {(O M)}^{2} = {(V M)}^{2} \\ 8^{2} + 6^{2} = l {}^{2} \\ l^{2} = 64 + 36 \\ l^{2} = 100 \end{matrix}$

Further simplify.

$\begin{matrix} l = \sqrt{100} \\ = \pm 10 \end{matrix}$

The height cannot be negative. Neglect the negative value of l.

Therefore, the value of the slant height l is 10 unit.

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V- ABCD is a regular square pyramid. Find the following numerical answers.
$l =___$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value.

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V- ABCD is a regular square pyramid. Find the following numerical answers.l=___

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

V- ABCD is a regular square pyramid. Find the following numerical answers.
$l =___$