The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. If the volume of the rectangular prism is 150 cubic inches, then we have:
150 = lwh
Since the length, width, and height are congruent in a rectangular pyramid, we can write the volume of the rectangular pyramid as:
V = (l^3)/3
Substituting l = w = h into this formula, we get:
V = (l^3)/3 = (lwh)/3
But we know that lwh = 150, so:
V = (150)/3 = 50 cubic inches
Therefore, the volume of the rectangular pyramid with congruent length, width, and height is 50 cubic inches.
If a rectangular prism has a volume of 150 cubic inches, what is the volume of a rectangular pyramid that has a congruent length, width, and height?
*
How do you know?
*
1 answer