![]() ![]() It has a gazillion different shapes! (Fourteen, to be exact. a cube, which is a special case of a rectangular prism – you may want to check out our comprehensive volume calculator. If you're searching for a calculator for other 3D shapes – like e.g. Solve it manually, or find it using our calculator. ![]() That's again the problem solved by the volume of a rectangular prism formula. Your good old large suitcase, 30 × 19 × 11 inches or You have to pack your stuff for the three weeks, and you're wondering which suitcase □ will fit more in: You are going on the vacation of your dreams □. But how much dirt should you buy? Well, that's the same question as how to find the volume of a rectangular prism: measure your raised bed, use the formula, and run to the gardening center. For that, you need to construct a raised bed and fill it with potting soil. The time has come – you've decided that this year you'd like to grow your own carrots □ and salad □. Find the volume of a triangular prism whose base is 16 cm, height is 9 cm, and length is 21 cm. Let us solve an example to understand the concept better. It is a similar story for other pets kept in tanks and cages, like turtles or rats – if you want a happy pet, then you should guarantee them enough living space. The formula to calculate the volume of a triangular prism is given below: Volume (V) 1/2 × b × h × l, here b base edge, h height, l length. If you're wondering how much water you need to fill it, simply use the volume of a rectangular prism formula. It's in a regular box shape, nothing fancy, like a corner bow-front aquarium. This formula can be easily derived by using the Pythagorean theorem. You bought a fish tank for your golden fish □. To determine the volume of a rectangular prism when you know the diagonals of its three faces, you need to apply the formula: volume 1/8 × (a² - b² + c²) (a² + b² - c²) (-a² + b² + c²), where a, b, and c are the diagonals youre given. Let us solve some examples to understand the concept better.Where can you use this formula in real life? Let's imagine three possible scenarios: Total Surface Area ( TSA) = ( b × h) + ( s 1 + s 2 + s 3) × l, here, s 1, s 2, and s 3are the base edges, h = height, l = length The formula to calculate the TSA of a triangular prism is given below: The total surface area (TSA) of a triangular prism is the sum of the lateral surface area and twice the base area. Lateral Surface Area ( LSA ) = ( s 1 + s 2 + s 3) × l, here, s 1, s 2, and s 3 are the base edges, l = length Total Surface Area The formula to calculate the total and lateral surface area of a triangular prism is given below: ![]() ![]() The lateral surface area (LSA) of a triangular prism is the sum of the surface area of all its faces except the bases. It is expressed in square units such as m 2, cm 2, mm 2, and in 2. The surface area of a triangular prism is the entire space occupied by its outermost layer (or faces). Like all other polyhedrons, we can calculate the surface area and volume of a triangular prism. So, every lateral face is parallelogram-shaped. The right hand picture illustrates the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the left) times the height, h. Both of the pictures of the Triangular prisms below illustrate the same formula. Oblique Triangular Prism – Its lateral faces are not perpendicular to its bases. The volume of a triangular prism can be found by multiplying the base times the height.Right Triangular Prism – It has all the lateral faces perpendicular to the bases. ![]()
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