3D Objects (Prisms, Cylinders, Cones, Spheres) Examples

What is the area of the base of the triangular prism below?

The bases of this prism are right triangles. They are identical and each triangle has a height of 6 inches with a base that's 8 inches long (that's the base and height of the triangle, not the base and height of the prism).

The area of a triangle is ½ (base)(height). The area of one of these "base" triangles is ½ (6)(8) = ½ (48) = 24 in².

Which of the following statements about the given prism is not true?

a) The two bases of the prism are congruent.
b) The two bases of the prism are perpendicular.
c) The two bases of the prism are parallel.
d) The two bases of the prism are polygons.

The two bases of the prism are parallel and congruent polygons. They are not perpendicular to each other.

Which of the following shapes are pyramids?

a)

b)

c)

d)

Pyramids have a polygon for a base and each edge meets at a point.

Images b and c are both pyramids because they both have a polygon for a base and each edge comes together at a point at the top.