Can we make a square pyramid with the lateral surface area equal to the base area?

The triangle given in the figureis one lateral face of a square pyramid.Find the lateral surface area of the pyramid.

The two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3cm//sec . How fast is the area decreasing when the two equal sides are equal to the base?

Prove that for a cone made by rolling up a semicircle, the curved surface area is twice the base area.

The base of a prism is a rectangle of sides 5 centimeters and 12 centimeters and its height is 20 centimeters. It is split vertically along a diagonal of the base into two triangular prism. What is the lateral surface area of these triangular prism.

The lateral faces of a square pyramid are equilateral triangles and the. length of base edge is 30 centimetres. What is its surface area?

The slant height of a square pyramid is 25 centimetres and its surface area is 896 square centimetres.What isits volume?

Height of a prism is 15 cm . Its base is a triangle and the perpendicular sides of the triangle are of lengths 6 cm and 8 cm . a) What is the volume of the prism? b) Find the lateral surface area of the prism.

The figure of a square sheet of paper is shown below. Length of one side of the paper sheet is 36 centimetre and AB=10 centimetres. The shaded portion is cut out and folded into a square pyramid. What is the length of the base edge of the pyramid? .

The given figure is the lateral face of a square pyramid. AB=AC=25 centimetres and BD=DC=15 centimetres. Find the lateral surface area of the pyramid. .