The area of the base of a right rectangular prism is 18 square inches and the height is 10 inches. What is the volume of the rectangular prisim ?(1 point)
cubic inches( )
The formula to find the volume of a right rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.
In this case, we are given that the area of the base (length * width) is 18 square inches, so we can write:
lw = 18
Since it is a right rectangular prism, the base is a rectangle, so we can find the length and width by looking for factors of 18. The factors of 18 are 1, 2, 3, 6, 9, and 18.
So, we can have length = 2 inches and width = 9 inches, or length = 3 inches and width = 6 inches.
Given that the height is 10 inches, we can calculate the volume for both cases:
Case 1: V = lwh = 2 * 9 * 10 = 180 cubic inches
or
Case 2: V = lwh = 3 * 6 * 10 = 180 cubic inches
Therefore, the volume of the rectangular prism is 180 cubic inches.