![]() 18. Two prisms of equal height are such that the magnitude of base of one is double the perimeter of the base of the other. If the base is a regular nonagon, find the length of each side of the base. 17. The area of the lateral surface of a right prism is 378 sq. If the area of its whole surface be 608 sq. and its base is a triangle whose sides are 18 cm., 20 cm. 15. The area of whole surface of a right prism is 1008 sq. If the volume of the prism be 144O√3 c.c., find the area of its whole surface. 14. The base of a right prism is a regular hexagon and its side-edges is 15 cm. If the area of its total surface be 288√3 sq. 13. The base of a right prism is a regular hexagon whose side is 6 ft. If the area of its lateral surface be 5400 sq. 12. A right prism stands on a base which is a regular hexagon of side 15 cm. Find the volume and the area of the lateral surface of the prism. and its base is a regular hexagon of side 5 cm. 11. The height of a right prism is 6√3 cm. 10. If the cross-section of a right prism is a regular hexagon of side 12 metres and its height is 20 metres, find the area of the total lateral surface and the volume of the prism. If the volume of the prim be 270 c.c., find its height. and length of the in-radius of the triangle is 3 cm. 9. The base of a right prism is a triangle whose perimeter is 15 cm. If the volume of the prism be 5700 c.c., find its height and the area of its whole surface. and one of the remaining sides is of length 15 cm. 8. The base of a right prism is a trapezoid whose parallel sides are of lengths 15 cm. If the height of the prism is 11 ft and volume 1100 cubic feet, then find the perpendicular distance between the parallel sides of the trapezium. 7. The base of a right prism is a trapezium whose parallel sides are 8 ft. If the volume of the prism 840 m³, find its height. ![]() in length and the distance between them is 7 m. Find the height and the total surface of the prism.Ħ. The base of a right prism is a trapezium whose parallel sides are 8 m. ft and its base is a triangle whose sides are 3 ft., 4 ft. ![]() Find also the total surface area of the prism. If the volume of the prism be 60√3 cubic centimeters, find its height. In this particular case, we're using the law of sines.4. The cross-section of a right prism is an equilateral triangle of side 4 centimeters. 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).If they gave you all three sides of a triangle – you're the lucky one! You can input any two given sides of the triangle – be careful and check which ones of them touch the right angle (a, b) and which one doesn't (c).You need to pick the ◣ right triangle option (this option serves as the surface area of a right triangular prism calculator).If only two sides of a triangle are given, it usually means that your triangular face is a right triangle (a triangle that has a right angle = 90° between two of its sides). Find all the information regarding the triangular face that is present in your query: ![]()
0 Comments
Leave a Reply.AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |