The height of a metallic right prism is 20 cm. Find the cost of painting its vertical surfaces at the rate of $ 240 per square metre. high has a rectangular cross-section of length 45 cm. How long will it take to discharge 90 litre? 25. Through an iron pipe whose water flows uniformly at the rate of 25 cm. If the base be a regular octagon, find the length of each side of the base. If its height, lateral surface and volume be h, S and v respectively, prove that,Ģ3. The base of a right prism is a regular octagon. If the area of its lateral surface and volume be s and v respectively, show that:Ģ2. 21. The base of a right prism is a regular pentagon of side x. if the base is a regular hexagon, then find the length of each side of the base and the volume of the prism. 20. The whole surface of a right prism 15 cm. Show that the volume of the prism is nearly 7242 c.c. and its base is a regular octagon whose each side is 10 cm. 19. The height of a right prism is 15 cm. Prove that the magnitude of the volume of the first prism is double the area of the lateral surface of the other prism. 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. 4. The cross-section of a right prism is an equilateral triangle of side 4 centimeters.
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