Questions: 1. Consider the surface area of the pyramid shown. (a) Draw a net for the pyramid. Label all sides with measurements. (b) Write an expression for the surface area of the pyramid and then find the surface area.

△ Draw a net for the pyramid and label all sides with measurements. ○ Identify net components ▷ Determine the shapes and dimensions that make up the net of the pyramid. ☼ The net consists of a rectangular base measuring 3 cm by 4 cm and four triangular faces. Two triangles have a base of 3 cm and a height of 4 cm, and the other two have a base of 4 cm and a height of 4 cm. ✧ The net consists of a rectangle (3 cm × 4 cm) with four attached triangles. Two triangles have a base of 3 cm and a height of 4 cm, while the other two have a base of 4 cm and a height of 4 cm. △ Write an expression for the surface area of the pyramid and find the surface area. ○ Calculate surface area ▷ Sum the areas of the base and the triangular faces to find the total surface area. ☼ The surface area is calculated as follows: Area of the rectangular base is \(3 \, \text{cm} \times 4 \, \text{cm} = 12 \, \text{cm}^2\). The area of two triangular faces with a base of 3 cm is \(2 \times \left(\frac{1}{2} \times 3 \, \text{cm} \times 4 \, \text{cm}\right) = 12 \, \text{cm}^2\). The area of the other two triangular faces with a base of 4 cm is \(2 \times \left(\frac{1}{2} \times 4 \, \text{cm} \times 4 \, \text{cm}\right) = 16 \, \text{cm}^2\). Total surface area is \(12 \, \text{cm}^2 + 12 \, \text{cm}^2 + 16 \, \text{cm}^2 = 40 \, \text{cm}^2\). ✧ The surface area of the pyramid is 40 cm². ☺ (a) The net consists of a rectangle (3 cm × 4 cm) with four attached triangles. Two triangles have a base of 3 cm and a height of 4 cm, while the other two have a base of 4 cm and a height of 4 cm. (b) Surface Area: 40 cm²