![]() Question 2: Find the surface area of a rectangular prism whose length, width, and height are 8cm, 6cm, and 4cm, respectively. Therefore, the volume of a rectangular prism is 192 cm 3. Using the rectangular prism volume formula, we get: volume (18 × 12. Find out the height of the rectangular prism - 15 in. To calculate the volume of a cardboard box: Find the length of the box, say 18 in. In this particular case, we're using the law of sines. The formula to find the volume of a rectangular prism is, V Length x Width x Height cubic units. where h is the height of the prism, w is its width, and l is its length. Here's the formula for the triangle area that we need to use:Īrea = a² × sin(β) × sin(γ) / (2 × sin(β + γ)) We're diving even deeper into math's secrets! □ The area of the base of a triangular prism can be calculated using different formulas, depending upon the known parameters and type of triangle in the base. The base area of the triangular prism is expressed in square units. The volume of a triangular prism is calculated by multiplying the area of the triangular base by the height of the prism. In this particular case, our triangular prism area calculator uses the following formula combined with the law of cosines:Īrea = Length × (a + b + √( b² + a² − (2 × b × a × cos(γ)))) + a × b × sin(γ) ▲ 2 angles + side between The base area of a triangular prism is defined as the total area covered by the bases of a triangular prism. On the other hand, Al denotes the lateral area, meaning the total area of the four lateral faces. You can calculate the area of such a triangle using the trigonometry formula: Note that Ab denotes the surface area of a single base of our prism. Now, it's the time when things get complicated. We used the same equations as in the previous example:Īrea = Length × (a + b + c) + (2 × Base area)Īrea = Length × Base perimeter + (2 × Base area) ▲ 2 sides + angle between Where a, b, c are the sides of a triangular base Step 1: Copy down the formula for surface area in your notes. This can be calculated using the Heron's formula:īase area = ¼ × √ Use the formule SA bh +pH to solve for the surface area of a triangular prism. We're giving you over 15 units to choose from! Remember to always choose the unit given in the query and don't be afraid to mix them our calculator allows that as well!Īs in the previous example, we first need to know the base area. To find the volume of a triangular prism, multiply the area of the triangular base by the prisms height and divide the result by 2.
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