A right square prism has a volume of 75 cubic inches. The prism is enlarged so its height is increased by a factor of 5, but the
1 answer:
Answer:
The new volume is 375 cubic inches.
Step-by-step explanation:
Volume of a right square prism:
The volume of a right square prism is given by:
In which a is the length of the edge and h is the height.
A right square prism has a volume of 75 cubic inches.
This means that:
The prism is enlarged so its height is increased by a factor of 5
Edge is the same, height is 5 times. So
The new volume is 375 cubic inches.
You might be interested in
Answer:
Second option
Third option
Fourth option
Step-by-step explanation:
We have the following quadratic function
Use the distributive property to multiply the expression
For a function of the form the x coordinate of the vertex is:
Then in this case the coordinate of the vertex is:
To obtain the y coordinate of the vertex we evaluate the function at
Then the vertex is: (-3, -16)
We can see in the graph that the zeros of the function are x=1 and x=-7
Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞
The function is positive for and
The correct answers are:
Second option
Third option
Fourth option