If the volume of a right rectangular prism is 2.8 inches cubed and it's length and width have a product of 2.8 inches squared, what is the height of the prism?
A. 7.84 in.
B. 5.6 in.
C. 1 in.
D. 6 in.
C. 1 in.
Explanation:
Let the length of the prism be L, the width be W, and the height be H. Given that the volume is 2.8 inches cubed, we have:
V = LWH
2.8 = 2.8WH
WH = 1
Given that the product of the length and width is 2.8 square inches, we have:
LW = 2.8
Substitute WH = 1 into LW = 2.8, we get:
1/H = 2.8
H = 1
Therefore, the height of the prism is 1 inch.