First, calculate the surface area of the triangular prism:
Surface Area = 2 * (0.5 * base * height + base * width + height * width)
Surface Area = 2 * (0.5 * 12cm * 6cm + 12cm * 4cm + 6cm * 4cm)
Surface Area = 2 * (36cm^2 + 48cm^2 + 24cm^2)
Surface Area = 2 * 108cm^2
Surface Area = 216cm^2
The total surface area of the tent is 216 cm^2.
Since the piece of fabric is 18 cm by 18 cm, the total area of the piece of fabric is 18 cm * 18 cm = 324 cm^2.
Therefore, the amount of fabric left over to make the tent is:
Fabric Left Over = Total Fabric - Total Surface Area
Fabric Left Over = 324 cm^2 - 216 cm^2
Fabric Left Over = 108 cm^2
So, there will be 108 cm^2 of fabric left over after making the tent.
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?
h: 6cm
w: 4cm
b: 12cm
1 answer