In order to calculate the amount of fabric needed for the triangular prism tent, we first need to determine the dimensions of the 10th shape as a triangular prism.
In a triangular prism, the formula for the surface area is:
Surface area = 2 * base area + lateral area
The base of the triangular prism is a triangle with base and height both equal to 18 cm. The area of a triangle is calculated as:
Base area = 0.5 * base * height
Base area = 0.5 * 18 cm * 18 cm
Base area = 162 cm²
Next, we need to calculate the lateral area of the triangular prism. The lateral area is the sum of the areas of all three rectangles that make up the sides of the prism.
The formula for the lateral area of a triangular prism is:
Lateral area = base perimeter * height
Lateral area = 3 * base * height
Lateral area = 3 * 18 cm * 18 cm
Lateral area = 972 cm²
Now, we can calculate the total surface area of the triangular prism tent:
Surface area = 2 * base area + lateral area
Surface area = 2 * 162 cm² + 972 cm²
Surface area = 324 cm² + 972 cm²
Surface area = 1296 cm²
Therefore, Jordan will need 1296 cm² of fabric for the triangular prism tent. Since she purchased a piece of fabric that is 18 cm by 18 cm (324 cm²), she will have 1296 cm² - 324 cm² = 972 cm² of fabric left over.
Jordan purchase a piece of fabric that is eighteen centimeters by eighteen centimeters in order to make a tent for her little sister's dolls Using the dimensions for the 10th shape as a triangular prism. How much fabric will be left over
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