Question

1. how does the area of the base affect the volume of a prism or cylinder?

a. it has no effect
b. only the height affects the volume
c. a larger base area results in a smaller volume
d. a larger base area results in a larger volume

Explanation:

The volume formula for a prism or cylinder is \( V = B\times h \), where \( B \) is the area of the base and \( h \) is the height. If the height \( h \) is constant, when \( B \) (base area) increases, \( V \) (volume) increases proportionally. For example, if \( h = 5\) and \( B_1= 2\), \(V_1=2\times5 = 10\); if \(B_2 = 4\), \(V_2=4\times5=20\). So a larger base area leads to a larger volume.

Answer:

d. A larger base area results in a larger volume