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VOLUME OF PRISMS
LESSON 6.3
RECALL VOLUME OF A RECTANGULAR PRISM: V = lwhsometimes “B” is used
for lw in the example
V = Bh. Both are the same.
LESSON 6.3
RECALL VOLUME OF A RECTANGULAR PRISM: V = lwh
3 cm length
LESSON 6.3
RECALL VOLUME OF A RECTANGULAR PRISM: V = lwh
7 cm width
3 cm length
LESSON 6.3
RECALL VOLUME OF A RECTANGULAR PRISM: V = lwh
5 cm height7 cm
width
3 cm length
LESSON 6.3
RECALL VOLUME OF A RECTANGULAR PRISM: V = lwh
V = 3 x 7 x 5 = 105 cm3
5 cm height7 cm
width
3 cm length
LESSON 6.3
RECALL VOLUME OF A RECTANGULAR PRISM: V = lwh
V = 3 x 7 x 5 = 105 cm3
5 cm height7 cm
width
3 cm length
Volume is measuredin units cubed
LESSON 6.3
RECALL Area = l w A = 21 cm2
3 cm length 7 cm
width
Area is measured in units2
LESSON 6.3
RECALL Area = l w A = 21 cm2
Volume = l w h V = 105 cm3 3 cm
length 7 cm width
5 cm height
3 cm length 7 cm
width
Volume is measured in units3
Area is measured in units2
LESSON 6.3
UNDERSTAND FIRST I WILL __________________________________________________
_______________________________________________________________
NEXT I WILL __________________________________________________
______________________________________________________________ THEN I WILL __________________________________________________
_______________________________________________________________
LESSON 6.3
UNDERSTAND FIRST I WILL ___Multiply the length, width and height of the prism
_______________________________________________________________
NEXT I WILL __________________________________________________
______________________________________________________________ THEN I WILL __________________________________________________
_______________________________________________________________
LESSON 6.3
UNDERSTAND FIRST I WILL ___Multiply the length, width and height of the prism
_______________________________________________________________
NEXT I WILL _Write the answer in units cubed (in3, cm3, ft3) _____
______________________________________________________________ THEN I WILL __________________________________________________
_______________________________________________________________
LESSON 6.3
APPLY is equal to 10 x 12 or 120
length = 2 mm
width = 4 mm
height = 8 mm
volume = 64 mm3
4 mm
6 mm
2 mm
LESSON 6.3
APPLY is equal to 10 x 12 or 120
length = 2 mm
width = 4 mm
height = 8 mm
volume = 64 mm3
4 mm
6 mm
2 mm
LESSON 6.3
APPLY is equal to 10 x 12 or 120
length = 2 mm
width = 4 mm
height = 8 mm
volume = 64 mm3
4 mm
6 mm
2 mm
LESSON 6.3
APPLY is equal to 10 x 12 or 120
length = 2 mm
width = 4 mm
height = 8 mm
volume = 64 mm3
4 mm
6 mm
2 mm
LESSON 6.3
APPLY is equal to 10 x 12 or 120
length = 2 mm
width = 4 mm
height = 8 mm
volume = 64 mm3
4 mm
6 mm
2 mm
LESSON 6.3
APPLY is equal to 10 x 12 or 120
length = 2 mm
width = 4 mm
height = 6 mm
volume = 64 mm3
4 mm
6 mm
2 mm
LESSON 6.3
APPLY is equal to 10 x 12 or 120
length = 2 mm
width = 4 mm
height = 6 mm
volume = 64 mm3
4 mm
6 mm
2 mm
LESSON 6.3
APPLY is equal to 10 x 12 or 120
length = 2 mm
width = 4 mm
height = 6 mm
volume = 48 mm3
4 mm
6 mm
2 mm
HINT!!! JUST MULTIPLY ALL THE NUMBERS TOGETHER
LESSON 6.3
APPLY What is the volume?
Area is equal to 10 x 12 or 120
Volume = l w h
2 cm 3 cm
3 cm
LESSON 6.3
APPLY What is the volume?
g
V = 18 cm3
Volume = l w h
2 cm 3 cm
3 cm
LESSON 6.3
APPLY What is the volume? equal to 10 x 12 or 120
V= l w h 10
cm
8 cm
2 cm
LESSON 6.3
APPLY What is the volume? equal to 10 x 12 or 120
V= l w h
V = 160 cm3
10 cm
8 cm
2 cm
LESSON 6.3
ANALYZEWhich figure represents 189 in3?
6 in
2 in
6 in
7 in
9 in 4 in
9 in
2 in 8 in 3 in
6 in
4 in
LESSON 6.3
EVALUATEWhat is the width of this rectangular prism if the volume is 343 cm3?
7 cm 7 cm
? cm
LESSON 6.3
CREATEConstruct a rectangular prism that would equal to 216 in3?
Area of triangle is 7 x 2 or 14 in2
Area of rectangle is 5 x 2 or 10 in2
Total area is 24 in22 in
2 in
3 in
2 in9 in
9 in
9 in
8 in3 in
8 in
3 in
8 inA
B
C
D
E
F
OkLet’s Practice
Let’s Practice (easy)
What is the voIume?
length: 18 cm
width: 10 cm
height: 7 cmVolume: 1260 cm3
Let’s Practice (easy)
What is the voIume?
length: 18 cm
width: 10 cm
height: 7 cmVolume: 1260 cm3
Let’s Practice (medium)
What is the area and voIume?
length: 12 inwidth: 5 in
height: 7 inArea is 60 in2 and Volume is : 420 in3
Let’s Practice (medium)
What is the area and voIume?
length: 12 inwidth: 5 in
height: 7 inArea is 60 in2 and Volume is 420 in3
Let’s Practice (challenging)
What is the voIume?
V = 360 ft3
2x + 8 ft
52 – 10 ftx = 2
ft
Let’s Practice (challenging)
What is the voIume?
V = 360 ft3
2x + 8 ft
52 – 10 ftx = 2
ft
Let’s Practice (nasty)
What is the voIume?
2p + 5 – (3x6) if p
=9
82 – 152 +4(18 – 23) – |7|•
4
Let’s Practice (nasty)
What is the voIume?
V = 420 units3
2p + 5 – (3x6) if p
=9
82 – 152 +4(18 – 23) – |7|•
4
GREAT JOB!!!
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