Sara is making a model tent. How much material will she need? Explain the process to solve and show all calculations. 5 cm 5 cm 3 cm 15 cm 4 cm
To find out how much material Sara will need to make the model tent, we first need to calculate the surface area of each component of the tent (all measurements are in centimeters).
1. Calculate the surface area of the base:
The base is a rectangle with dimensions 15 cm by 4 cm. The formula for the surface area of a rectangle is length x width. So, the surface area of the base is:
Surface area = 15 cm x 4 cm = 60 cm²
2. Calculate the surface area of the front and back walls:
The front and back walls are rectangles with dimensions 15 cm by 3 cm. Since there are 2 walls, we need to calculate the total surface area by multiplying the surface area of one wall by 2:
Surface area of one wall = 15 cm x 3 cm = 45 cm²
Total surface area of front and back walls = 45 cm² x 2 = 90 cm²
3. Calculate the surface area of the two side walls:
The side walls are rectangles with dimensions 5 cm by 3 cm. Since there are 2 side walls, we need to calculate the total surface area by multiplying the surface area of one side wall by 2:
Surface area of one side wall = 5 cm x 3 cm = 15 cm²
Total surface area of side walls = 15 cm² x 2 = 30 cm²
4. Add up the surface areas of all components:
Total surface area = Surface area of base + Surface area of front and back walls + Surface area of side walls
Total surface area = 60 cm² + 90 cm² + 30 cm²
Total surface area = 180 cm²
Therefore, Sara will need 180 cm² of material to make the model tent.