Question

6 cm

7 cm

12 cm

4 cm

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)

O 324 cm2

O 240 cm2

O 184 cm2

O 84 cm2

Answer 1

I’m missing how the four given lengths map onto the tent (there’s no diagram). For a triangular prism you need to know which is the prism’s length and which three are the triangle’s side lengths (and whether the triangular ends are covered or left open).

If you mean: triangle sides = 6 cm, 7 cm, 4 cm and prism length = 12 cm, then
- triangle area (Heron) = sqrt(8.5·2.5·1.5·4.5) ≈ 11.976 cm²,
- perimeter = 6+7+4 = 17 cm,
- lateral area = perimeter·length = 17·12 = 204 cm².

So
- if the tent is closed (all faces covered): total fabric used ≈ 204 + 2·11.976 ≈ 227.95 cm² → leftover ≈ 324 − 227.95 ≈ 96.05 cm² (not one of the choices),
- if the tent has open ends (only the three rectangular faces): used = 204 cm² → leftover = 324 − 204 = 120 cm² (not a choice either).

Please confirm (or send the figure):
- which of the four numbers is the prism length,
- which three are the triangle’s sides (or the triangle’s base and height),
- and whether the triangular ends are covered.

Once you confirm I’ll compute the exact leftover and match it to the given options.