You will need 6 packages of stickers.
To find the surface area of the triangular prism, we first find the surface area of the rectangular side:
15.9 cm * 5 cm = 79.5 cm²
Then we find the surface area of the two triangular sides:
(1/2 * 8.9 cm * 5 cm) + (1/2 * 8.9 cm * 16.7 cm) = 44.5 cm² + 74.615 cm² = 119.115 cm²
Adding the three areas together:
79.5 cm² + 119.115 cm² = 198.615 cm²
Since one package of stickers covers 75 cm², we divide the total surface area by 75 cm²:
198.615 cm² / 75 cm² ≈ 2.65
Since we can only purchase whole packs of stickers, we need to round up to the nearest whole number. Therefore, we would need 3 packages of stickers.
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)
Responses
You will need 5.5 packages of stickers.
You will need 5.5 packages of stickers.
You will need 414.14 cm2 packages of stickers.
You will need 414.14 cm squared packages of stickers.
You will need 7 packages of stickers.
You will need 7 packages of stickers.
You will need 6 packages of stickers.
1 answer
1 answer