the net of a square-based pyramid is shown below.\n\nthe sides of the square base are 6 units, and each…

the net of a square-based pyramid is shown below.\n\nthe sides of the square base are 6 units, and each lateral face has a height of x units.\nwhich of the following expressions represents the lateral surface area of the pyramid with the given net?\n24x\n12x\n36 + 12x

the net of a square-based pyramid is shown below.\n\nthe sides of the square base are 6 units, and each lateral face has a height of x units.\nwhich of the following expressions represents the lateral surface area of the pyramid with the given net?\n24x\n12x\n36 + 12x

Answer

Explanation:

Step1: Find area of one triangular face

The area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. Here, base = 6, height = $x$. $\text{Area of 1 triangle} = \frac{1}{2} \times 6 \times x = 3x$

Step2: Calculate total lateral surface area

There are 4 identical triangular lateral faces. $\text{Total lateral area} = 4 \times 3x = 12x$

Answer:

12x