The triangle faces are called the lateral faces, and the rectangle faces are called the bases. The faces of a triangular prism are rectangles and triangles. It is a three-dimensional figure with six faces, eight vertices, and twelve edges. 29) triangular prism 30) rectangular prism 31) trapezoidal prism 32) triangular pyramid 33) square pyramid 34). What is triangular prism explain with an example?Ī triangular prism is a three-sided polygon with two parallel faces. 5 square feet, and a volume of 26 cubic feet. With those two formulas in hand, you'll be able to easily calculate the surface area of any triangular prism!įAQ What is a triangular prism in geometry? To find the surface area of a triangle, multiply the base times the height and then divide that number by 2. To find the surface area of a rectangle, simply multiply the length times the width. The surface area of a triangular prism is found by adding together the areas of all six faces-three rectangles and three triangles. So if our rectangular face has an area of 24 square inches and our triangle face has an area of 12 square inches, then the total surface area would be 36 square inches.
Area of triangular prism how to#
Now that we know how to find the areas of each type of face, we can find the total surface area by adding them all together.
So if our triangle has a base of 6 inches and a height of 4 inches, then we would multiply 6 times 4 to get 24, and then divide that by 2 to get 12 square inches. We can do this by multiplying the base times the height, and then dividing that number by 2. Now let's find the area of one of the triangle faces. So if our rectangular face has a length of 6 inches and a width of 4 inches, then the area would be 6 multiplied by 4, or 24 square inches. We can do this by multiplying the length times the width. This sounds like a lot, but it's actually not too bad once you get started.įirst, let's find the area of one of the rectangular faces. To find the surface area of a triangular prism, we need to find the areas of all of the faces and add them together. How to Find the Surface Area of a Triangular Prism Then use it to estimate the volume lost to one indentation and multiply it by their number to get the actual chocolate filled volume.A triangular prism is a three-sided polygon with two parallel faces. One way to approach this curious problem is to first use the volume of a prism calculator above to calculate the volume of the bar, including the indentations.
Many camping tents are also such prisms, making use of the same beneficial properties.Ī triangular prism volume calculation may also be handy if you want to estimate the volume of a toblerone bar. This type of roof has the best distribution of forces generated by the weight of the roofing and lateral forces (i.e.
Practical applicationsĪ lot of classical roofs have the shape of a triangular prism, so calculating the volume of air below it might be useful if you are using the space as a living area. For example, if the height is 5 inches, the base 2 inches and the length 10 inches, what is the prism volume? To get the answer, multiply 5 x 2 x 10 and divide the result by 2, getting 10 x 10 / 2 = 100 / 2 = 50 cubic inches. Three measurements of a prism need to be known before the volume can be calculated using the equation above: the prism length, height, and base.
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