Asked by itzpradalol10
here r the dimensions- 6cm 7cm 4cm 12cm
MAKE IT WORK SOMEHOW!!
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 like a triangular prism, how much fabric will be left over?
MAKE IT WORK SOMEHOW!!
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 like a triangular prism, how much fabric will be left over?
Answers
Answered by
itzpradalol10
NO.
Answered by
GPT 3.5
To calculate the surface area of the tent shaped like a triangular prism, we first need to find the area of the two triangular bases and the three rectangular sides.
The formula for the surface area of a triangular prism is:
Surface Area = 2(base area) + (perimeter of base x height)
The area of a triangle is (1/2) x base x height.
Base area = (1/2) x 6 cm x 7 cm = 21 cm^2
Height of the triangle = 4 cm
Therefore, the base area of one triangle is 21 cm^2.
Perimeter of the base = 6 cm + 7 cm + √(6^2 + 7^2) cm = 6 cm + 7 cm + √(36 + 49) cm = 6 cm + 7 cm + √85 cm = 6 cm + 7 cm + 9.22 cm ≈ 22.22 cm
Now, calculate the surface area of the two triangular bases:
2 x 21 cm^2 + 22.22 cm x 4 cm = 42 cm^2 + 88.88 cm^2 ≈ 130.88 cm^2
The total surface area of the tent shaped like a triangular prism is approximately 130.88 cm^2.
As Jordan purchased a piece of fabric that is 18 cm by 18 cm, the total area of the fabric is 18 cm x 18 cm = 324 cm^2.
Therefore, the amount of fabric left over after making the tent is 324 cm^2 - 130.88 cm^2 = 193.12 cm^2.
Jordan will have approximately 193.12 cm^2 of fabric left over after making the tent for her little sister's dolls.
The formula for the surface area of a triangular prism is:
Surface Area = 2(base area) + (perimeter of base x height)
The area of a triangle is (1/2) x base x height.
Base area = (1/2) x 6 cm x 7 cm = 21 cm^2
Height of the triangle = 4 cm
Therefore, the base area of one triangle is 21 cm^2.
Perimeter of the base = 6 cm + 7 cm + √(6^2 + 7^2) cm = 6 cm + 7 cm + √(36 + 49) cm = 6 cm + 7 cm + √85 cm = 6 cm + 7 cm + 9.22 cm ≈ 22.22 cm
Now, calculate the surface area of the two triangular bases:
2 x 21 cm^2 + 22.22 cm x 4 cm = 42 cm^2 + 88.88 cm^2 ≈ 130.88 cm^2
The total surface area of the tent shaped like a triangular prism is approximately 130.88 cm^2.
As Jordan purchased a piece of fabric that is 18 cm by 18 cm, the total area of the fabric is 18 cm x 18 cm = 324 cm^2.
Therefore, the amount of fabric left over after making the tent is 324 cm^2 - 130.88 cm^2 = 193.12 cm^2.
Jordan will have approximately 193.12 cm^2 of fabric left over after making the tent for her little sister's dolls.
Answered by
GPT 3.5
I apologize for the error in my calculation. Let's try again.
To calculate the surface area of the tent shaped like a triangular prism, we first need to find the area of the two triangular bases and the three rectangular sides as before.
Area of the two triangular bases:
(1/2) x 6 cm x 7 cm = 21 cm^2
Perimeter of the base for each triangle:
6 cm + 7 cm + √(6^2 + 7^2) cm = 6 cm + 7 cm + √(36 + 49) cm = 6 cm + 7 cm + √85 cm ≈ 6 cm + 7 cm + 9.22 cm ≈ 22.22 cm
Height of the triangular prism: 4 cm
Surface area of the tent shaped like a triangular prism:
2 x 21 cm^2 + 22.22 cm x 4 cm = 42 cm^2 + 88.88 cm^2 = 130.88 cm^2
As mentioned before, Jordan purchased a piece of fabric that is 18 cm by 18 cm, with a total area of 324 cm^2.
The amount of fabric left over after making the tent is:
324 cm^2 - 130.88 cm^2 = 193.12 cm^2
Therefore, Jordan will have approximately 193.12 cm^2 of fabric left over after making the tent for her little sister's dolls.
To calculate the surface area of the tent shaped like a triangular prism, we first need to find the area of the two triangular bases and the three rectangular sides as before.
Area of the two triangular bases:
(1/2) x 6 cm x 7 cm = 21 cm^2
Perimeter of the base for each triangle:
6 cm + 7 cm + √(6^2 + 7^2) cm = 6 cm + 7 cm + √(36 + 49) cm = 6 cm + 7 cm + √85 cm ≈ 6 cm + 7 cm + 9.22 cm ≈ 22.22 cm
Height of the triangular prism: 4 cm
Surface area of the tent shaped like a triangular prism:
2 x 21 cm^2 + 22.22 cm x 4 cm = 42 cm^2 + 88.88 cm^2 = 130.88 cm^2
As mentioned before, Jordan purchased a piece of fabric that is 18 cm by 18 cm, with a total area of 324 cm^2.
The amount of fabric left over after making the tent is:
324 cm^2 - 130.88 cm^2 = 193.12 cm^2
Therefore, Jordan will have approximately 193.12 cm^2 of fabric left over after making the tent for her little sister's dolls.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.