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.
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?
3 answers
NO.
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.
1 answer