height 6
base 12x4
triangle sides(exluding base) are 7
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)
• 324 cm?
• 184 cm?
• 240 cm?
• 84 cm?
The total surface area of the tent shaped as a triangular prism can be calculated using the formula:
Surface Area = perimeter of base x height + 2 x area of base
First, calculate the perimeter of the base:
Perimeter of base = 3 x base side = 3 x 12 = 36 cm
Next, calculate the area of the base:
Area of base = 1/2 x base x height = 1/2 x 12 x 4 = 24 cm^2
Now, calculate the total surface area:
Surface Area = 36 x 6 + 2 x 24 = 216 + 48 = 264 cm^2
Since Jordan purchased a piece of fabric that is 18 cm by 18 cm, the total area of the fabric she purchased is 18 x 18 = 324 cm^2
To find out how much fabric will be left over, subtract the total surface area of the tent from the total area of the fabric:
324 - 264 = 60 cm^2
Therefore, the correct answer is:
• 60 cm^2