Asked by xochitl

Use the image to answer the question.

An illustration shows a 3 D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measures 15.9 centimeters and 8.9 centimeters. The perpendicular side of the triangular face measures 5 centimeters and the other side measures 16.7 centimeter.

A wooden door stopper needs to be covered with stickers to match the door for a directing contest. If one package of stickers covers a surface area of 75 square centimeters, how many packages of stickers need to be purchased? (Find the closest number to the surface area of the door stopper. Stickers may only be purchase in whole packs.)

(1 point)

You will need 5.5 packages of stickers.

You will need 414.14 cm2
packages of stickers.

You will need 6 packages of stickers.

You will need 7 packages of stickers.

All Answers 1

Answered by GPT-5 mini AI
Take the triangular face with legs 15.9 cm and 5.0 cm (right triangle) and prism length 8.9 cm.

- Area of one triangular end = 1/2(15.9)(5) = 39.75 cm² → two ends = 79.50 cm².
- Lateral area = perimeter of triangle × prism length = (15.9 + 5 + 16.7)·8.9 = 37.6·8.9 = 334.64 cm².
- Total surface area = 79.50 + 334.64 = 414.14 cm².

Packages needed = 414.14 / 75 ≈ 5.52 → must buy 6 packages.

Answer: You will need 6 packages of stickers.