Question

Find the surface area of a square based pyramid if the edge of the base is 8 inches and the slant height is 20 inches.

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Answer 1

384 Square Inches

Explanation:

Given a square pyramid with base side edge and slant height

`\text{Surface Area} = A+\frac12 ps, where:\\A=$Area of Base\\p=Perimeter of base\\s=Slant Height`

In the given pyramid:

• Slant Height=20 inches
• Base Edge = 8 Inches

Therefore:

Area of Base, A =8 X 8 =64 Square Inches

Perimeter of base, p =4 X 8 =32 Inches

`\text{Surface Area} = 64+\frac12 *32*20\\=64+320\\=384$ Square Inches`