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Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.

T.A.=___

Short Answer

Expert verified

The total area of the pyramidV−XYZ is equal to 363 â¶Ä‰c³¾2.

Step by step solution

01

Step 1. Given information.

The givenV−XYZpyramid:

Each edge of pyramid is equal to 6.

02

Step 2. Write the concept.

The total area of the pyramid is the sum of lateral area and area of base and the area of each face is equal to the area of the base.

T.A.=(n+1)(B)

The area of each face is equal to the area of the base.

The base of the pyramid is equilateral triangle with edge of triangle is equal to 6 cm.

The formula for the area of the equilateral triangle is,

B=34a2

03

Step 3. Determine the Lateral Area.

Substitute 6 for a in the formula for area.

B=34a2=34(6)2=34(36)=93

Substitute93 for B and 3 for n in the formula for lateral area.

T.A.=(n+1)(B)=4(93)=363

Therefore, the total area of the pyramidV−XYZ is equal to363 c³¾2 .

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