Question

1. a rectangular pyramid is shown below.30 cm20 cm26 cm36 cm1) which diagram is a net for this pyramid?1) what is the surface area of the rectangular pyramid?$\boldsymbol{square}$ square centimeters

Explanation:

Step1: Identify base dimensions

Base: $l=36\ \text{cm}$, $w=20\ \text{cm}$

Step2: Calculate base area

$\text{Base Area} = l \times w = 36 \times 20 = 720\ \text{cm}^2$

Step3: Calculate area of first pair of triangles

Triangles: base $36\ \text{cm}$, height $26\ \text{cm}$. Area for 2: $2 \times \frac{1}{2} \times 36 \times 26 = 36 \times 26 = 936\ \text{cm}^2$

Step4: Calculate area of second pair of triangles

Triangles: base $20\ \text{cm}$, height $30\ \text{cm}$. Area for 2: $2 \times \frac{1}{2} \times 20 \times 30 = 20 \times 30 = 600\ \text{cm}^2$

Step5: Sum all areas for surface area

$\text{Surface Area} = 720 + 936 + 600$

A net for a rectangular pyramid has 1 rectangular base and 4 triangular faces: 2 triangles with base 36 cm, height 26 cm, and 2 triangles with base 20 cm, height 30 cm, attached to the corresponding sides of the rectangle.

Answer:

2256 square centimeters

Net Identification: