![]() That’s our final answer: The volume of the given triangular prism equals 510 feet cubed. When we multiply feet by feet by feet and when we’re discussing volume, we know that our units will be cubed. And 30 times 17 equals 510.īut we’re not finished here because we need to decide what to do with our units. Then we multiply the area of our base by the height of our prism, 17 feet. For our base, our triangle, one-half times six times 10. Let’s start plugging things into our formula. ![]() Example 2: Determine the volume of a triangular prism in which the base of the triangle is 8 inches, the height is 6 inches and the length of the prism is 12 inches. And the height of our triangular prism is 17 feet. According to the volume of triangular prism formula, V B x h By substituting the values, V 12 x 6 V 72 (cm3) So, the volume of the triangular prism is 72 cubic centimeters. So we see, in our case, the base of our triangle is 10 feet and the height of our triangle is six feet. It’s the distance from one base to the other.Īnd how do we go about finding the area of the base? Well, like any triangle, we multiply one-half, the base of that triangle, times the height of that triangle. ![]() And the green portion represents the height. The volume is then the area of the base multiplied by the height. The volume of a triangular prism can be found by multiplying the base times the height, where the shaded pink portion represents the base. Using the area of triangle formula for the given type of triangle in base, we can calculate the base length by substituting the known values in the formula and solve.Determine the volume of the given triangular prism. How to Calculate the Base Length Using Base Area of a Triangular Prism? The units used to express the base area of a triangular prism are in 2, m 2, cm 2, ft 2, etc. What Are the Units Used to Express Base Area of a Triangular Prism? ![]() When base triangle's two sides 'a' and 'b' and the included angle 'θ' are given, then area = 1/2 ab sin θ.When base triangle is scalene, with all three sides 'a', 'b', and 'c' are given, then area = √, where s = (a + b + c)/2.When base triangle is an isosceles triangle with its sides to be 'a', 'a', and 'b' then its area is (b/4).When base triangle is a right-angled triangle, with two legs 'b' and 'h' then area = (1/2) bh.When base triangle's base 'b' and height 'h' is given, then area = (1/2) bh.When base triangle is equilateral, with each side 'a', then area = √3a 2/4.The formulas that can be used to find the base area of a triangular prism are, What Are the Formulas to Find Base Area of a Triangular Prism? Express the result with a suitable unit.Apply the formulas to calculate the area of the base triangle and multiply it by 2.Note down the dimensions of the triangle in bases.The base area of a triangular prism can be calculated as, How to Calculate the Base Area of a Triangular Prism? A triangular prism has 2 triangle-shaped bases. The base area of a triangular prism is defined as the region or area covered by the bases of a triangular prism. Related Topics on Base Area of a Triangular PrismįAQs on the Base Area of a Triangular Prism What Is Base Area Triangular Prism? The base area of a triangular prism can be calculated when the base length and height of the base triangle are given.The base area of a triangular prism can be calculated when three sides of the base triangle are given.Important Notes on Base Area of a Triangular Prism Solution: Base area of the given triangular prism = (1/2) × b × h = (1/2) × 20 × 10 = 100 square units b is the length of the base of the triangle, and,Įxample: How to find the base area of a triangular prism given the height of the triangle h = 10 units and base b = 20 units?.1.īase Area of a Triangular Prism Using Sidesīase Area of a Triangular Prism Formula with Height and Baseīase Area of a Triangular Prism Formula if the Base and Height of the Triangle Are Givenįor a triangular prism, if the length of the base and height of the base triangle is given, then its base area can be given by,īase area of a triangular prism = Area of the base triangleīase area of a triangular prism = (1/2) × b × h The rectangles need not be congruent with each other. Both of the triangles are parallel and congruent to each other. It's a three-sided prism where the base and top are equal triangles and the remaining 3 sides are rectangles. Recall that a prism is a solid which has identical polygon ends (bases), flat parallelogram sides, and has the same cross-section all along its length.Ī prism having three faces as rectangles and two triangles as its bases (one triangle acts as the top) is called a triangular prism. Let us start with the pre-required knowledge to understand the topic base area of a triangular prism. The base area of a triangular prism is the area of the triangle of the prism. In this section, we will discuss the base area of a triangular prism along with solved examples.
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