Q: Is a solid with equal base area and equal sides?

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Lateral Area is the area of the sides of a solid, not including base.

A cube has all sides equal. The base area of cube = any surface of cube. All sides are squares (since all lengths are equal). So, the base area of cube = length * breadth.

A pyramid with a triangular base. The faces are 4 equilateral triangles.

There is a contradiction in your question. If the base has four equal sides then is it a square so not all the faces are Triangles. However if the base is a square and the rest of the faces are triangles then your object is a "Square-based Pyramid"

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

Related questions

The answer is a pyramid.

Lateral Area is the area of the sides of a solid, not including base.

The figure is a pyramid and the base is a square.

A cube has all sides equal. The base area of cube = any surface of cube. All sides are squares (since all lengths are equal). So, the base area of cube = length * breadth.

octagonal pyramid

A pyramid with a triangular base. The faces are 4 equilateral triangles.

The same as for any pyramid: calculate the base area, multiply by the (perpendicular) height, divide the result by 3.The base area of a regular octagon (equal sides, equal angles), based on the length of the sides "a", is 2(1 + squareroot(2))a2.

A regular pentagon-based pyramid.

There is a contradiction in your question. If the base has four equal sides then is it a square so not all the faces are Triangles. However if the base is a square and the rest of the faces are triangles then your object is a "Square-based Pyramid"

Not necessarily. The solid could be a square based cuboid (hexahedron).

It has 3 sides It has 3 interior angles that add up to 180 degrees Its 2 base angles are equal It has 2 equal sides It will tessellate It has a perimeter which is the sum of its 3 sides It has an area which is 0.5*base*perpendicular height

A square pyramid has a base with 4 equal sides and triangular faces.