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

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Math Expert
Joined: 02 Sep 2009
Posts: 51280
If the figure above is a rectangular solid composed of cubes, each wit  [#permalink]

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07 Aug 2018, 03:16
00:00

Difficulty:

25% (medium)

Question Stats:

83% (00:55) correct 17% (01:25) wrong based on 58 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:

cube.jpg [ 26.24 KiB | Viewed 618 times ]

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

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07 Aug 2018, 04:12
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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07 Aug 2018, 05:53
length = 5 * 4
Width = 4 * 4
Height = 5 * 4

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

Hence, E.
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Joined: 30 Jul 2018
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Re: If the figure above is a rectangular solid composed of cubes, each wit  [#permalink]

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15 Aug 2018, 07:07
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

what is 5 cube? i dont see any figure of 5 mentioned in the question
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Joined: 01 Oct 2017
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If the figure above is a rectangular solid composed of cubes, each wit  [#permalink]

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15 Aug 2018, 07:32
1
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

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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PKN

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If the figure above is a rectangular solid composed of cubes, each wit &nbs [#permalink] 15 Aug 2018, 07:32
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