A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a si
1 answer:
Answer:
The height of the second prism is 12 units.
Step-by-step explanation:
First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that
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Answer:
Step-by-step explanation:
Let be the greater number and
be the smaller number. We know that their difference is 15, so we have
Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have
So, we have the follwing system:
From the first equation, we can derive , and substitute this expression in the second equation to get
Substitute this value for y in the first equation to get