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.
Complete question:
CHECK ATTACHMENT FOR THE DIAGRAM.
Answer:
Angle 7 is 76°
Step-by-step explanation:
From the diagram, notice that angle 4 = angle 5
That is,
Δ4 = Δ2
Because vertically opposite angles are equal.
Δ4 = 7x
Δ2 = 126
So
126 = 7x
Divide both sides by 7
x = 126/7 = 18
Again, angle 5 = angle 7
Δ5 = Δ7
Because vertically opposite angles are equal.
Since Δ5 = (4x + 4)°
And x = 18
Then
Δ7 = 4(18) + 4 = 72 + 4 = 76°
