Numbers are: 4 cm, 6 cm, 7 cm, and 12 cm.
Jordan purchased a piece of fabric that is 18 cm by 18 cm in order to make a tenet for her little sister's dolls. Using the dimensions for the tent shaped as a triangular prism, how much fabric will be left over?
A. 84 cm²
B. 240 cm²
C. 184 cm²
D. 324 cm²
To find the surface area of the wooden door stopper, you need to find the total area of all sides of the door stopper.
The surface area of the wooden door stopper can be calculated by summing the areas of each face (assuming it's a rectangular prism):
Area = 2 * (16.7 cm * 5 cm) + 2 * (16.7 cm * 8.9 cm) + 2 * (5 cm * 8.9 cm)
Area = 2 * (83.5 cm²) + 2 * (148.63 cm²) + 2 * (44.5 cm²)
Area = 167 cm² + 297.26 cm² + 89 cm²
Area = 553.26 cm²
Since one package of stickers covers an area of 75 cm² and you need to purchase whole packages of stickers, you need to calculate how many packages of stickers you'll need to cover at least 553.26 cm².
Packages needed = 553.26 cm² / 75 cm² ≈ 7.38
The closest whole number of packages to 7.38 is 7. Therefore, you will need:
C. You will need 7 packages of stickers.
The total surface area of a triangular prism can be calculated by finding the area of the two triangular faces and the area of the three rectangular faces.
The triangular faces have a base of 12 cm and a height of 6 cm, so the total area of the two triangular faces is:
2 * (1/2 * 12 cm * 6 cm) = 2 * 36 cm² = 72 cm²
The rectangular faces have dimensions of 4 cm by 18 cm, 6 cm by 18 cm, and 7 cm by 18 cm. The total area of the three rectangular faces is:
4 cm * 18 cm + 6 cm * 18 cm + 7 cm * 18 cm = 72 cm² + 108 cm² + 126 cm² = 306 cm²
Therefore, the total surface area of the triangular prism is:
72 cm² + 306 cm² = 378 cm²
The area of the fabric that Jordan purchased is 18 cm * 18 cm = 324 cm²
The amount of fabric left over after making the tent is:
324 cm² - 378 cm² = -54 cm²
Since the area cannot be negative, this means there is no fabric left over. Therefore, the answer is none of the provided options.
pick from a b c or d
Given that the fabric purchased by Jordan is 18 cm by 18 cm, the total area is 18 cm * 18 cm = 324 cm².
The total surface area of the triangular prism tent can be calculated as follows:
2 * (area of the triangular faces) + 3 * (area of the rectangular faces)
Area of triangular faces = 2 * (1/2 * 12 cm * 6 cm) = 2 * (36 cm²) = 72 cm²
Area of rectangular faces = 4 cm * 18 cm + 6 cm * 18 cm + 7 cm * 18 cm = 72 cm² + 108 cm² + 126 cm² = 306 cm²
Total surface area = 2 * 72 cm² + 3 * 306 cm² = 144 cm² + 918 cm² = 1062 cm²
Therefore, the fabric left over can be calculated as:
Fabric left over = 324 cm² - 1062 cm² = -738 cm²
Since the area cannot be negative, this means there is no fabric left over. Therefore, the answer is still none of the provided options.
this is a quick check I cant just not pick a option so pick one
In that case, the closest option to the actual answer is:
D. 324 cm²
Numbers are: 16.7 cm, 5 cm, 8.9 cm, and 15.9 cm
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 may 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.)
A. You will need 5.5 packages of stickers.
B. You will need 6 packages of stickers.
C. You will need 7 packaged of stickers.
D.You will need 414.14 cm² packages of stickers.