![]() 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. We cant determine the actual surface area from volume alone, and as far as I can tell the ratio of surface area to volume is not consistent across random prisms. If you're searching for a calculator for other 3D shapes – like e.g. Given two prisms with volume 1536 and 375, what is the ratio of their surface areas A. 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: The scale factor can be used with various different shapes too. Hence, the scale factor from the larger Square to the smaller square is 1:2. Step 2: Scale factor 3/6 (Divide each side by 6). You are going on the vacation of your dreams □. Now, to find the scale factor follow the steps below. 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 □. 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. 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. You bought a fish tank for your golden fish □. In this particular case, we're using the law of sines.Where can you use this formula in real life? Let's imagine three possible scenarios: Here's the formula for the triangle area that we need to use:Īrea = a² × sin(Angle β) × sin(Angle γ) / (2 × sin(Angle β + Angle γ)) ![]() We're diving even deeper into math's secrets! □ 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(Angle γ)))) + a × b × sin(Angle γ) ▲ 2 angles + side between You can calculate the area of such a triangle using the trigonometry formula: 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 This can be calculated using the Heron's formula:īase area = 0.25 × √, 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. Choose the ▲ 2 angles + side between optionĢ.If you're given 2 angles and only one side between them If they give you two sides and an angle between them Input all three sides wherever you want (a, b, c).First notice that the two given rectangular prisms are congruent (equal angles. ![]() If they gave you all three sides of a triangle – you're the lucky one! Manipulate the scale factor that links two three-dimensional rectangular prisms.
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