Question

Find the surface area of a square pyramid with side length 3 km and slant height 4 km.

Answer 1

Answer:

The pyramid consists of 4 triangles having bases of 3 km and height of 4 km (measured along the face)

A = 4 * 3 / 2 * 4 = 24 km^2

Each triangle has an area of 1/2 * bottom length * height

3 cannot refer to the length of one of the isosceles triangles because a slant height of 4 km is given and is less than one such side

Answer 2

The surface area of the square pyramid is 24 km².

What is the surface area of a square pyramid with a slant height?

The surface area of a square pyramid with a slant height can be determined by the product of the base perimeter with the slant height divided by two.

Mathematically, it can be expressed as:

Surface Area S.A = P × l/2

where;

• Side length (a) = 3
• Base perimeter (P) = 4a = 4(3) = 12km
• Slant length (l) = 4 km

Surface Area (S.A) = 12 × (4/2)

Surface Area (S.A) = 24 km²

Learn about calculating the surface area of a square pyramid here:

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