pls help
a rectangular prism with a square base has height 12 ft. the volume of the prism is 3469 cubic feet. determine the side length of the base of the prism to the nearest foot.
Answers
Answer:
1. The base of a right prism is an equilateral triangle of side a cm. If h cm. be the-height of the prism show that the area of its lateral surface is 3ah square cm. and volume is (√3/4) a²h cubic cm.
2. The base of a right prism is a triangle whose sides are of lengths 9 cm. 10 cm. and 11 cm. Find the volume and total surface area of the prism if its height be 15 cm.
3. Find the volume and lateral surface of a right prism 8 inches high standing on an isosceles triangle, each of whose equal sides is 5 inches and the other side 6 inches.
4. The cross-section of a right prism is an equilateral triangle of side 4 centimeters. If the volume of the prism be 60√3 cubic centimeters, find its height. Find also the total surface area of the prism.
5. The volume of a right prism is 80 cu. ft and its base is a triangle whose sides are 3 ft., 4 ft. and 5 ft. Find the height and the total surface of the prism.
6. The base of a right prism is a trapezium whose parallel sides are 8 m. and 12m. in length and the distance between them is 7 m. If the volume of the prism 840 m³, find its height.
7. The base of a right prism is a trapezium whose parallel sides are 8 ft. and 11ft. in length. 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.
8. The base of a right prism is a trapezoid whose parallel sides are of lengths 15 cm. and 23 cm. and one of the remaining sides is of length 15 cm. and perpendicular to the parallel sides. If the volume of the prism be 5700 c.c., find its height and the area of its whole surface.
9. The base of a right prism is a triangle whose perimeter is 15 cm. and length of the in-radius of the triangle is 3 cm. If the volume of the prim be 270 c.c., find its height.
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.
Step-by-step explanation: