To find the surface area of the triangular prism, we need to calculate the area of each face and add them all together.
1. Area of the triangular base:
Area = (1/2) * base * height
Area = (1/2) * 27.9 cm * 5.1 cm
Area = 71.145 cm2
2. Area of the rectangular faces:
Each rectangular face has a length of 30.5 cm and a width of 5.1 cm.
Area = length * width
Area = 30.5 cm * 5.1 cm
Area = 155.55 cm2
Since the triangular prism has 2 identical rectangular faces, we need to calculate the area of one and multiply by 2.
Total area of the rectangular faces = 2 * 155.55 cm2 = 311.1 cm2
Now, add the area of the triangular base and the area of the rectangular faces to get the total surface area:
Total Surface Area = 71.145 cm2 + 311.1 cm2
Total Surface Area = 382.245 cm2
Rounded to the nearest whole number, the amount of wrapping paper needed is approximately 382 cm2.
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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 30.5 centimeters and 27.9 centimeters. The perpendicular side of the triangular face measures 5.1 centimeter and the hypotenuse measures 28.4 centimeter.
A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap the toy? Round your answer to the nearest whole number.
(1 point)
S.A. =
cm2
5 answers
S.A. = cm2
The surface area of the triangular prism is 382 cm2.
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An illustration shows a pyramid with a rectangular base. The length of the base is labeled 14 centimeters and the width as 12 centimeters. The perpendicular heights from the apex to the base length of 14 is 10 centimeters and to the base width of 12 is 10.6 centimeters. The perpendicular heights are denoted by two right angle symbols on two of the lateral faces from the apex to the base by dashed lines.
What is the surface area of the rectangular pyramid?
(1 point)
cm2
An illustration shows a pyramid with a rectangular base. The length of the base is labeled 14 centimeters and the width as 12 centimeters. The perpendicular heights from the apex to the base length of 14 is 10 centimeters and to the base width of 12 is 10.6 centimeters. The perpendicular heights are denoted by two right angle symbols on two of the lateral faces from the apex to the base by dashed lines.
What is the surface area of the rectangular pyramid?
(1 point)
cm2
To find the surface area of the rectangular pyramid, we need to calculate the area of each face and add them all together.
1. Area of the rectangular base:
Area = length * width
Area = 14 cm * 12 cm
Area = 168 cm2
2. Area of each triangular face:
- First triangular face with base 14 cm and height 10.6 cm:
Area = (1/2) * base * height
Area = (1/2) * 14 cm * 10.6 cm
Area = 74.8 cm2
- Second triangular face with base 12 cm and height 10 cm:
Area = (1/2) * base * height
Area = (1/2) * 12 cm * 10 cm
Area = 60 cm2
Now, add the area of the rectangular base and the area of both triangular faces to get the total surface area:
Total Surface Area = 168 cm2 + 74.8 cm2 + 60 cm2
Total Surface Area = 302.8 cm2
Rounded to the nearest whole number, the surface area of the rectangular pyramid is 303 cm2.
1. Area of the rectangular base:
Area = length * width
Area = 14 cm * 12 cm
Area = 168 cm2
2. Area of each triangular face:
- First triangular face with base 14 cm and height 10.6 cm:
Area = (1/2) * base * height
Area = (1/2) * 14 cm * 10.6 cm
Area = 74.8 cm2
- Second triangular face with base 12 cm and height 10 cm:
Area = (1/2) * base * height
Area = (1/2) * 12 cm * 10 cm
Area = 60 cm2
Now, add the area of the rectangular base and the area of both triangular faces to get the total surface area:
Total Surface Area = 168 cm2 + 74.8 cm2 + 60 cm2
Total Surface Area = 302.8 cm2
Rounded to the nearest whole number, the surface area of the rectangular pyramid is 303 cm2.