Question

1. which formula represents the volume of a prism?

a. ( v=pi r^{2} )
b. ( v = b\times h )
c. ( v=l + w+h )
d. ( v = 2b+h )

Explanation:

• Option a: \(V=\pi r^{2}\) is the formula for the area of a circle, not the volume of a prism.
• Option b: The volume formula for a prism is \(V = B\times h\), where \(B\) is the area of the base and \(h\) is the height of the prism.
• Option c: \(V=l + w+h\) is an addition formula and has no relation to volume (volume is a three - dimensional measure calculated by multiplication for prisms).
• Option d: \(V = 2B+h\) is an incorrect formula for the volume of a prism. Volume is a product - based formula for prisms (involving base area and height), not a sum - based formula like this.

Answer:

B. \(V = B\times h\)