The ratio of the volume of the rectangular prism to the volume of the triangular prism is [tex]\frac{1}{15}[/tex].
The volume of two right prisms ([tex]V[/tex]), cubic units, equals the product of the base area and its height, both in units. Thus, the ratio of both volumes is now calculated:
[tex]r = \frac{(40)\cdot (3)\cdot (30)}{\frac{1}{2}\cdot (60)^{2}\cdot (30) }[/tex]
[tex]r = \frac{1}{15}[/tex]
The ratio of the volume of the rectangular prism to the volume of the triangular prism is [tex]\frac{1}{15}[/tex]. [tex]\blacksquare[/tex]
Statement is incomplete and poorly formatted. Correct and complete form is shown below:
A rectangular prism has a base with edge length 40 units, edge width 3 units, and a height of 30 units. A triangular prism has a right triangular base with legs that are 60 units long and a height of 30 units. Determine the ratio of the volume of the rectangular prism to the volume of the triangular prism.
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