Jordan purchased a piece of fiber that is 18 cm by 18 cm in order to make a tent for her little sister dolls using the d i m e n s i o n s for the 10th shape like a triangular prism how much fiber will be left 4 cm 12 CM 6 cm 7 cm a 184 cm square b 324 cm squared to 84 cm square d 240 cm

Answer 1

The surface area of a triangular prism can be calculated using the formula:

Surface Area = 2 * (base area) + (lateral area)

The base of the triangular prism is a triangle, and its area can be calculated using the formula for the area of a triangle:

base area = 0.5 * base * height

In this case, the base is 18 cm and the height is 18 cm, so the base area is:

0.5 * 18 cm * 18 cm = 162 cm^2

Next, we need to calculate the lateral area of the triangular prism. The lateral area of a triangular prism can be calculated by finding the perimeter of the base triangle and multiplying it by the height of the prism. The perimeter of the base triangle can be calculated by adding the three sides of the triangle.

In this case, the sides of the base triangle are all 18 cm each, so the perimeter is:

18 cm + 18 cm + 18 cm = 54 cm

The lateral area is then:

54 cm * 18 cm = 972 cm^2

Now we can calculate the total surface area of the triangular prism:

Surface Area = 2 * 162 cm^2 + 972 cm^2
Surface Area = 324 cm^2 + 972 cm^2
Surface Area = 1296 cm^2

Since Jordan started with a piece of fiber that is 18 cm by 18 cm (324 cm^2), the amount of fiber left after making the tent in the shape of a triangular prism is:

324 cm^2 - 1296 cm^2 = -972 cm^2

However, there cannot be a negative amount of fiber left, so the answer is 0 cm^2.