You want to wrap a gift shaped like the regular triangular prism shown. How many square inches of wrapping paper do you need to completely cover the prism?
In a triangular prism, the front and back faces are triangles and the other faces are rectangles. In the front face, the base has length 10 inches. A dashed line joins the top vertex to the bottom side. The dashed line makes a right angle with the bottom side and has length 8.7 inches. The rectangular face on the right has height 12 inches.
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answer:507
You want to wrap a gift shaped like the regular triangular prism shown. How many square inches of wrapping paper do you need to completely cover the prism?
In a triangular prism, the front and back faces are triangles and the other faces are rectangles. In the front face, the base has length 10 inches. A dashed line joins the top vertex to the bottom side. The dashed line makes a right angle with the bottom side and has length 8.7 inches. The rectangular face on the right has height 11 inches.
To calculate the amount of wrapping paper you need to cover the triangular prism, you need to find the total surface area of all the faces.
First, let's calculate the area of the two triangular faces:
The area of a triangle can be calculated using the formula A = (base * height) / 2.
For the front face, the base has a length of 10 inches and the height is the length of the dashed line, which is 8.7 inches. So, the area of the front triangle is (10 * 8.7) / 2 = 43.5 square inches.
For the back face, it is identical to the front face, so its area is also 43.5 square inches.
Next, let's calculate the areas of the rectangular faces:
The area of a rectangle can be calculated using the formula A = length * width.
For the rectangular face on the right, the length is the height of the triangular prism, which is 12 inches, and the width is the length of the dashed line, which is 8.7 inches. So, the area of the right rectangular face is 12 * 8.7 = 104.4 square inches.
Finally, let's calculate the area of the remaining two rectangular faces, which are identical to the right rectangular face. So, each of them has an area of 104.4 square inches.
To find the total surface area, we add up the areas of all the faces:
Total Surface Area = 2 * (area of triangular faces) + 3 * (area of rectangular faces)
= 2 * (43.5) + 3 * (104.4)
= 87 + 313.2
= 400.2 square inches.
Therefore, you would need approximately 400.2 square inches of wrapping paper to completely cover the triangular prism.
I have the same question.
what is the answer
How many square inches of wrapping paper do you need to completely cover the prism?
74
You want to wrap a paperweight shaped like the triangular Prism Shown. How many square inches of wrapping paper do you need to completely cover the prism???
There are 4 in 4in 4in 3.in 8 in??
There are 2 triangles- 7+7=14
There are rect 1- 4 x 3.5 = 14
The other rect 2 - 8 x 4= 32
The other rect 3- 4 x 4= 16
Add all them up you get 72.
The answer is 72 in 2
Surely you know how to find the area of a triangle or a rectangle. The prism has two triangular faces. Each has
base=10 and height 8.7
The prism has three long rectangular faces. Each has
length=12 and height=10
So, what do you get?