What Expression represents the volume of the prism in cubic units?
A prism is a 3-dimensional solid object which has identical ends, flat faces, and the same cross-section all along its length.
Answer: Expression that represents the volume of the prism in cubic units is V = A × H cubic units where A is the base area and H is the height of the prism.
The volume (V) of a prism is given by the area, (A) of the base multiplied by the height, (H) of the prism.
V = B × H cubic units.
The height of the prism is measured by the length of the normal from the base to the top base of the prism. Some prisms are oblique at their base. The word "base" can mean either end of a prism, hence the top end of the prism.
- Triangular Prism: V = (Area of a triangle) × Length = 1/2 × b × h × l
- Rectangular Prism: V = (Area of a rectangle/square) × Length = w × h × l
- Trapezoidal Prism: V = (Area of a trapezoid) × Length = 1/2 × (base1 + base2) × h × l
Thus, the volume of the prism: A × H cubic units, where A is the base area and H is the height of the prism.