![]() The lateral area is the sum of the areas of the two triangles. The base area is the area of the rectangle, which is: Surface Area = 2 × base area + lateral area To find the height of the prism, we need to use the formula for the surface area of a triangular prism, which is: Therefore, the correct answer is 156 cm². So the total surface area is the sum of the areas of all the faces: To find the area, we use the formula for the area of a triangle: (1/2) * base * height.įor each triangle: (1/2) * 12 cm * 9 cm = 54 cm². The triangles have a base of 12 centimeters and a height of 9 centimeters. To find the area, we multiply the width by the length: 4 cm * 12 cm = 48 cm². The width of the parallelogram is given as 4 centimeters, and the length is given as 12 centimeters. In this case, the triangular prism consists of three parallelograms and two triangles. To find the surface area of a triangular prism, we need to first calculate the areas of each face and then add them up. Therefore, the surface area of the triangular prism whose net is shown is 252 cm². ![]() To find the surface area, we add the area of the parallelograms and the area of the triangles: 144 cm² + 108 cm² = 252 cm². ![]() The triangular prism has 2 triangles, so the total area of the triangles is 2 * 54 cm² = 108 cm².ĥ. So, the area of each triangle is 1/2 * 12 cm * 9 cm = 54 cm².Ĥ. In this case, the base of the triangle is 12 cm and the height is 9 cm. The area of the triangle can be found by using the formula: Area = 1/2 * base * height. The triangular prism has 3 parallelograms, so the total area of the parallelograms is 3 * 48 cm² = 144 cm².ģ. So, each parallelogram has an area of 4 cm * 12 cm = 48 cm².Ģ. ![]() The area of each parallelogram can be found by multiplying the width (4 cm) by the length (12 cm). To find the surface area of the triangular prism, we need to find the area of each of the 3 parallelograms and the area of the 2 triangles.ġ. Therefore, the surface area of the triangular prism is 14 cm2. Now we just need to add up the area of the three rectangles and the two triangles:Ģ.5 cm2 + 3 cm2 + 2.5 cm2 + 6 cm2 = 14 cm2 So the total area of the two triangles is: The formula for the area of a triangle is 1/2 times base times height, which gives us: The two triangles are congruent, so we can find the area of one and multiply by 2. The area of each rectangle is 1 cm (width) times either 2.5 cm or 3 cm (length), so they both have an area of: To find the surface area of the triangular prism, we need to find the area of each of the three rectangles and the area of each of the two triangles. Other dimensions are also shown on the net. The surface area of the triangular prism shown is 5,768 square units. An unmarked triangle adjoins the right side of the bottom rectangle. The other two sides of the adjoining triangle measure 25 units for the hypotenuse and 7 units for the base. The middle rectangle has a triangle adjoining its left side. The width of the middle rectangle is 24 units. The length of the rectangles is marked with 3 question marks. All 4 sides of the middle rectangle are drawn with dashed lines. The net appears as three horizontal rectangles joined one on top of another. What is a two-dimensional representation of a three-dimensional figure?(1 point)Īn illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. A right angle is shown where the perpendicular height intersects with the triangle base. Two right triangles adjoin the middle rectangle on the top and bottom along the 3 centimeter side, with their perpendicular height measuring 2 centimeters. The length of the middle rectangle is 3 centimeters. The length of the outer rectangles is 2.5 centimeters. The width of the 3 rectangles is 1 centimeter. The net appears as three horizontal rectangles joined next to each other. What is the surface area of the triangular prism whose net is shown?ġ0 answers Use the image to answer the question.Īn illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. Right angles are shown at the intersection of the perpendicular sides and the base sides of the triangles. Two right triangles adjoin the middle parallelogram on the top and bottom 12 centimeter sides, with their hypotenuse sides measuring 15 centimeters and the perpendicular sides measuring 9 centimeters. The length of the middle parallelogram is 12 centimeters. The width of the parallelograms is 4 centimeters. All 4 sides of the middle parallelogram are drawn with dashed lines. The net appears as three horizontal parallelograms joined next to each other. Surface Area of Triangular Prisms Quick CheckĪn illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible.
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