A machine part is made from a rectangular prism with a smaller rectangular prism cut out of it, as shown below. What is the volume of
the part? Circle the correct answer.
xt to Speech
rkup
1 cm 4 cm
mment
5 cm
Sho
to fi
mach
4 cm
8 cm
A 20 cubic centimeters
uation
B
140 cubic centimeters
C 160 cubic centimeters
awing
D 180 cubic centimeters
apes
Leo chose D as the correct answer. How did he get that answer?
ase

chase is right because he already been to the swings and he know how far it will be to get there

step-by-step explanation:

70

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4