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

Volume=___

Short Answer

Expert verified

The volume of the pyramid is384unit3 .

Step by step solution

01

Step 1. Given information.

The givenV−ABCD is a regular square pyramid.

Also,AB=12 and BC=12.

02

Step 2. Determine the area.

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

Calculate area of base of pyramid.

Areaofbase=12×12=144unit2

03

Step 3. Determine the volume.

In ΔVBC, calculate the area.

Volumeofpyramid=13×height×areaofbase=13×8×144=48×8=384unit3

Therefore, the volume of pyramid shown in figure is384unit3 .

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