To calculate the amount of fabric left over, we first need to find the total surface area of the triangular prism tent.
A triangular prism has 2 triangular bases and 3 rectangular faces. The formula to calculate the surface area of a triangular prism is:
Surface Area = 2*(base area of triangle) + (perimeter of triangle * height)
First, let's calculate the base area of the triangle:
The base of the triangle is 18 cm and the height is also 18 cm.
Base area of triangle = 1/2 * base * height
Base area of triangle = 1/2 * 18 cm * 18 cm
Base area of triangle = 162 cm2
Next, let's calculate the perimeter of the triangle:
The perimeter of a triangle can be calculated by adding the lengths of all three sides.
Perimeter of triangle = 18 cm + 18 cm + 18 cm
Perimeter of triangle = 54 cm
Now, we can calculate the total surface area of the triangular prism tent:
Surface Area = 2*(162 cm2) + (54 cm * 18 cm)
Surface Area = 324 cm2 + 972 cm2
Surface Area = 1296 cm2
Since Jordan purchased a piece of fabric that is 18 cm by 18 cm, the total area of the fabric is:
Total fabric area = 18 cm * 18 cm
Total fabric area = 324 cm2
Therefore, the amount of fabric left over will be:
Fabric Left Over = Total fabric area - Surface Area of triangular prism tent
Fabric Left Over = 324 cm2 - 1296 cm2
Fabric Left Over = 972 cm2
So, the correct answer is:
972 cm2
Jordan purchased a piece of fabric that is 18 cm by 18
cm in order to make a tent for her little sister’s dolls.
Using the dimensions for the tent shaped as a
triangular prism, how much fabric will be left over?
(1 point)
84 cm2
240 cm2
184 cm2
324 cm2
1 answer