Question

A model of a house is created by putting a square pyramid on a cube. The resulting figure has a surface area of 165 square inches.


A square pyramid on top of a cube.


What is the height of one of the triangular faces?

2 inches

4 inches

5 inches

6 inches

Answer 1

Step-by-step explanation:

In this section, we will learn about the surface area of a square pyramid. A pyramid is a 3-D object whose all side faces are congruent triangles and whereas its base can be any polygon. One side of each of these triangles coincides with one side of the base polygon. A square pyramid is a pyramid whose base is a square. The pyramids are named according to the shape of their bases. Just like other three-dimensional shapes, a square pyramid also has two types of areas.

Total Surface Area (TSA)

Lateral Surface Area (LSA)

Let us learn about the surface area of a square pyramid along with the formula and a few solved examples here. You can find a few practice questions at the end