Question

1. jada is teaching her classmate how to calculate the surface area of triangular pyramids. place the calculations in the correct order. move each answer to the correct box. \\(\frac{1}{2}(3.3)(4.2) = 6.93\\,\text{cm}^2\\) \\(3(6.93) = 20.79\\,\text{cm}^2\\) \\(4.455 + 20.79 = 25.245\\,\text{cm}^2\\) \\(\frac{1}{2}(3.3)(2.7) = 4.455\\,\text{cm}^2\\) step calculation calculate the area of the triangular base calculate the area of one triangular face calculate the area of all lateral faces add the areas to determine total surface area

Explanation:

Step1: Calculate base triangle area

The base is a triangle with base $3.3$ cm and height $2.7$ cm. Use the triangle area formula $A=\frac{1}{2}bh$.
$\frac{1}{2}(3.3)(2.7)=4.455 \text{ cm}^2$

Step2: Calculate one lateral face area

Each lateral face is a triangle with base $3.3$ cm and height $4.2$ cm. Use the triangle area formula.
$\frac{1}{2}(3.3)(4.2)=6.93 \text{ cm}^2$

Step3: Calculate total lateral face area

There are 3 identical lateral faces, multiply one face's area by 3.
$3(6.93)=20.79 \text{ cm}^2$

Step4: Calculate total surface area

Add the base area and total lateral face area.
$4.455+20.79=25.245 \text{ cm}^2$

Answer:

Step	Calculation
Calculate the area of one triangular face	$\frac{1}{2}(3.3)(4.2)=6.93 \text{ cm}^2$
Calculate the area of all lateral faces	$3(6.93)=20.79 \text{ cm}^2$
Add the areas to determine total surface area	$4.455+20.79=25.245 \text{ cm}^2$