Answer:
1.03
Step-by-step explanation:
To find the volume of a prism, find the area of the base and multiply it by the height.
The base is an octagon. The area is found 
. Substitute a = 0.5.
The volume is 1.21*2.5 = 3.025.
However, there are three holes drilled out half way which each have volume 0.06.
The volume is found as V = πr²h. Substitute r = 0.125 which is half the diameter of 0.25. Since they go half way, the height is h = 1.25.
V = π(0.125)²(1.25) = 0.06.
Since there are 3, they equal 3*0.06 = 0.18.
Subtract this from the volume.
1.21 - 0.18 = 1.03
Answer:
The initial height is the y-intercept of the graph
slope of the graph = -2
Jordon interprets the only the slope correctly.
Aral interprets the only the initial height correctly.
Step-by-step explanation:
Slope = change in y ÷ change in x = (0 - 12) ÷ (6 - 0) = -12 ÷ 6 = -2
So the slope of the graph = -2
by inspection, the y-intercept = 12
Therefore, the equation for the line is y = -2x + 12
Jordon interprets the only the slope correctly.
Aral interprets the only the initial height correctly
Answer:
The answer to your question is 10240 mm³
Step-by-step explanation:
Data
length of the base = 32 mm
length of the height = 34 mm
Formula
Volume of a pyramid = 1/3 x Area of the base x length of the height
Process
1.- Calculate the area of the base
Area = side x side
= 32 x 32
= 1024 mm²
2.- Find the height of the pyramid using the Pythagorean theorem
height² = 34² - 16²
height² = 1156 - 256
height² = 900
height = 30
3.- Calculate the volume of the pyramid
Volume = 1/3Area x height
= 1/3(1024 x 30)
= (30720)/3 mm³
= 10240 mm³
The correct answer is 400.
