39in³ is a required volume.
Solution given:
for upper one
length[l]=8in
breadth[b] =3in
height[h]=1in
now
volume [V1]=l×b×h=8×3×1=24in³
again for lower one:
length[l]=6-1=5in
breadth[b] =3in
height[h]=1in
volume [V2]=l×b×h=5×3×1=15in³
Again
total volume =V1+V2=24in³+15in³=39in³
Answer: 14.6
<u>Step-by-step explanation:</u>
Draw a right triangle such that the building is perpendicular to the ground (which is where the shadow is cast).
Use Pythagorean Theorem to find the length of the shadow (x):
x² + 34² = 37²
x² = 37² - 34²
x² = 213
√x² = √213
x = 14.59
Answer:
x=
or 11.5---
Step-by-step explanation:
First, simplify the equation by adding the like terms.
15x+3x=18x
-17+-11=-28
So, the equation is:
18x-28=180
+28 +28 <---(Add the 28 to both sides to cancel out the 28 with opposite operations)
18x=208
/18 /18 <---(Divide the 18 as opposite operation to get x by itself)
x=208/18
=104/9
or 11.5---
The lines Mark drew are perpendicular.