Home
Class 12
MATHS
The volume of a right prism is 16 cu.m. ...

The volume of a right prism is 16 cu.m. The base of the prism is in equilateral triangle. What must be the length of the side of the base for the least total surface area of the prism ?

Text Solution

Verified by Experts

The correct Answer is:
4 m
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the lateral surface area and total surface area of the following right prisms.

If the equation of the base of an equilateral triangle is 2x - y=1 and the vertex is (-1,2), then the length of a side of the triangle is-

If the equation of base of an equilateral triangle is 2x-y=1 and the vertex is (-1,2), then the length of the sides of the triangle is

The equation to the base of an equilateral triangle is x+y=2and its vertex is at (2,-1) . Find the length of a side of the triangle.

The equation to the base of an equilateral triangle is 4x-3y+10=0 and its vertex is at (-2,-1), find the length of a side of the triangle.

The base of prism is equilateral triangle. The distance from the centre of one base to one of the vertices of the other base is ldot Then altitude of the prism for which the volume is greatest is (a) l/2 (b) l/(sqrt(3)) (c) l/3 (d) l/4

The perimeter of an isoceles triangle is 544 cm. The length of each equal sides is (5)/(6) part of its base. Find the area of the triangle.

Write whether the following statements are true or false : (ii) The radius of base , height and slant height of a solid right circular cone are r unit h unit and l unit respectively . The base of the cone is joint along the base of solid right circular cylinder. If the radii of the bases and heights of the cylinder and of the cone be equal , then the total surface area of the joint solid object will be (pirl + 2pirh +2 pir^(2)) sq - unit

Among the total surface area , lateral surface area and the area of the base of right circular cone , the total surface area is the greatest in magnitude.