sara is making a model tent. How much material will she need? Explain the process to solve and show all calculations. and the numbers are 5 5 15 3 4

Answer 1

To determine how much material Sara will need for the model tent, we need to calculate the total surface area of the tent.

First, we need to determine the dimensions of the tent. Let's assume the tent has a rectangular base with dimensions 5cm x 15cm and a height of 3cm.

Surface Area of the rectangular base = 2(length x width) + 2(width x height) + 2(height x length)
= 2(5 x 15) + 2(15 x 3) + 2(3 x 5)
= 2(75) + 2(45) + 2(15)
= 150 + 90 + 30
= 270 cm²

Next, we need to calculate the surface area of the two triangular sides of the tent.

Surface Area of a triangle = 1/2 x base x height

For one triangular side:
= 1/2 x 5 x 3
= 7.5 cm²

Now, we need to calculate the total surface area of the tent:
Total Surface Area = 2 x Surface Area of the rectangular base + 2 x Surface Area of one triangular side
= 2 x 270 + 2 x 7.5
= 540 + 15
= 555 cm²

Therefore, Sara will need 555 cm² of material for the model tent.