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If the figure above is a rectangular solid composed of cubes, each wit

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If the figure above is a rectangular solid composed of cubes, each wit  [#permalink]

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New post 04 Dec 2017, 03:39
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Question Stats:

85% (01:11) correct 15% (01:09) wrong based on 48 sessions

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If the figure above is a rectangular solid composed of cubes, each with edge of length 4 centimeters, what is the volume of the rectangular solid in cubic centimeters?

(A) 100
(B) 256
(C) 400
(D) 5,120
(E) 6,400

Attachment:
2017-12-04_1434_001.png
2017-12-04_1434_001.png [ 9.71 KiB | Viewed 1236 times ]

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Re: If the figure above is a rectangular solid composed of cubes, each wit  [#permalink]

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New post 04 Dec 2017, 04:29
Bunuel wrote:
Image
If the figure above is a rectangular solid composed of cubes, each with edge of length 4 centimeters, what is the volume of the rectangular solid in cubic centimeters?

(A) 100
(B) 256
(C) 400
(D) 5,120
(E) 6,400

Attachment:
2017-12-04_1434_001.png


(5 * 4) * (5 * 4) * (4 * 4) = 6400 cubic cm

E
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Re: If the figure above is a rectangular solid composed of cubes, each wit  [#permalink]

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New post 12 Jan 2018, 07:18
Bunuel wrote:
Image
If the figure above is a rectangular solid composed of cubes, each with edge of length 4 centimeters, what is the volume of the rectangular solid in cubic centimeters?

(A) 100
(B) 256
(C) 400
(D) 5,120
(E) 6,400

Attachment:
2017-12-04_1434_001.png


We see that one side of the rectangle solid is 4 x 5 = 20, another side is 4 x 5 = 20, and the last side is 4 x 4 = 16.

So the volume is 20 x 20 x 16 = 6400.

Answer: E
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Re: If the figure above is a rectangular solid composed of cubes, each wit  [#permalink]

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New post 07 Aug 2018, 05:12
Height=5 cubes = 5*4=20 cm
Length= 5 cubes = 5*4=20 cm
Width= 4 cubes = 4*4=16 cm

Area of the rectangular solid: 20*20*16=6 400 cubic sm

IMO
Ans: E
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Re: If the figure above is a rectangular solid composed of cubes, each wit  [#permalink]

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New post 07 Aug 2018, 06:53
length = 5 * 4
Width = 4 * 4
Height = 5 * 4

Volume = (5 * 4) * (4 * 4) * (5 * 4) = 6400

Hence, E.
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Re: If the figure above is a rectangular solid composed of cubes, each wit  [#permalink]

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New post 15 Aug 2018, 08:07
LevanKhukhunashvili wrote:
Height=5 cubes = 5*4=20 cm
Length= 5 cubes = 5*4=20 cm
Width= 4 cubes = 4*4=16 cm

Area of the rectangular solid: 20*20*16=6 400 cubic sm

IMO
Ans: E





need more explanation please
what is 5 cube? i dont see any figure of 5 mentioned in the question
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If the figure above is a rectangular solid composed of cubes, each wit  [#permalink]

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New post 15 Aug 2018, 08:32
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boomerangbak wrote:
LevanKhukhunashvili wrote:
Height=5 cubes = 5*4=20 cm
Length= 5 cubes = 5*4=20 cm
Width= 4 cubes = 4*4=16 cm

Area of the rectangular solid: 20*20*16=6 400 cubic sm

IMO
Ans: E





need more explanation please
what is 5 cube? i dont see any figure of 5 mentioned in the question


Hi boomerangbak,

Question stem- What is volume of the rectangular solid?

Volume of rectangular solid= Length* width*height

Observation of the given cuboid:-
a) Cuboid consists of identical cubes with length of edge=4 cm (Given)
b) Length of the cuboid(=rectangular solid), L= 5* length of one edge of the cube (Edge length of 5 identical cubes form the length of the cuboid or rectangular solid)=5*4=20
c) Width of the cuboid(=rectangular solid), W= 4* length of one edge of the cube (Edge length of 4 identical cubes form the width of the cuboid or rectangular solid)=4*4=16
d) Height of the cuboid(=rectangular solid), L= 5* length of one edge of the cube (Edge length of 5 identical cubes form the height of the cuboid or rectangular solid)=5*4=20

So, volume=20*16*20=6400 cc

P.S:-
1) In a cube, measure of length=measure of width=measure of height. Volume of cube=\(a^3\) (Where a is the measure of any of its side)
2) A rectangular solid is also called cuboid, Volume of cuboid=L*B*W

Hope it helps.
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If the figure above is a rectangular solid composed of cubes, each wit   [#permalink] 15 Aug 2018, 08:32
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