Question

what does the b in the prism volume formula ( v = b\times h ) stand for?
a. perimeter of the base
b. volume of the base
c. breadth of the prism
d. area of the base

Explanation:

The volume formula for a prism is \( V = B\times h \), where \( h \) is the height of the prism. In geometric formulas, when calculating the volume of a prism (which is a three - dimensional shape with two congruent and parallel bases), \( B \) represents the area of the base. The perimeter of the base (\( P \)) is used in formulas for lateral surface area (\( LSA=P\times h \)), the volume of the base doesn't make sense as the base is a two - dimensional shape (volume is for three - dimensional), and breadth is a linear measure (not used in this formula in the way \( B \) is).

Answer:

d. Area of the base