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A certain rectangular box A, has height of x units, length of y units and width of z units, where x, y, and z are positive integers. A second rectangular box B, has each of its dimensions - height, length and width, 50 percent smaller than that of rectangular box A. If the surface ares of rectangular box B is 2.5 unit^2, what is the volume of rectangular box A?
A. 1/4 unit^3 B. 1 unit^3 C. 2 unit^3 D. 4 unit^3 E. 10 unit^3
A certain rectangular box A, has height of x units, length of y units and width of z units, where x, y, and z are positive integers. A second rectangular box B, has each of its dimensions - height, length and width, 50 percent smaller than that of rectangular box A. If the surface ares of rectangular box B is 2.5 unit^2, what is the volume of rectangular box A?
A. 1/4 unit^3 B. 1 unit^3 C. 2 unit^3 D. 4 unit^3 E. 10 unit^3
A certain rectangular box A, has height of x units, length of y units and width of z units, where x, y, and z are positive integers. A second rectangular box B, has each of its dimensions - height, length and width, 50 percent smaller than that of rectangular box A. If the surface ares of rectangular box B is 2.5 unit^2, what is the volume of rectangular box A?
A. 1/4 unit^3 B. 1 unit^3 C. 2 unit^3 D. 4 unit^3 E. 10 unit^3
A certain rectangular box A, has height of x units, length of y units and width of z units, where x, y, and z are positive integers. A second rectangular box B, has each of its dimensions - height, length and width, 50 percent smaller than that of rectangular box A. If the surface ares of rectangular box B is 2.5 unit^2, what is the volume of rectangular box A?
A. 1/4 unit^3 B. 1 unit^3 C. 2 unit^3 D. 4 unit^3 E. 10 unit^3
sides of box b = x/2,y/2 and z/2
TSA = 2/4(xy+xz+zy)=2.5 or say (xy+xz+zy)= 5
since given that x,y,z are integers so x=2,y=z=1 so volume would be 2*1*1= 2 IMO c
Originally posted by Archit3110 on 24 Dec 2018, 07:01.
Last edited by Archit3110 on 25 Dec 2018, 01:42, edited 1 time in total.
A certain rectangular box A, has height of x units, length of y units and width of z units, where x, y, and z are positive integers. A second rectangular box B, has each of its dimensions - height, length and width, 50 percent smaller than that of rectangular box A. If the surface ares of rectangular box B is 2.5 unit^2, what is the volume of rectangular box A?
A. 1/4 unit^3 B. 1 unit^3 C. 2 unit^3 D. 4 unit^3 E. 10 unit^3
SA of a rectangular box: 2(LW+LH+WH) V of a rectangular box: LWH
SA of B: 2(0.5*0.5(xy)+0.5*0.5(xz)+0.5*0.5(yz))=2.5 2(0.5*0.5(xy+xz+yz)=2.5 2*1/4(xy+xz+yz)=2.5 (xy+xz+yz)=2.5*2=5 (xy+xz+yz)=(2*1+2*1+1*1)=5 (x,y,z)=(2,1,1)
V of A: xyz=2*1*1=2
Ans (C)
gmatclubot
Re: A certain rectangular box A, has height of x units, length of y units
[#permalink]
11 Nov 2019, 09:16
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42% (02:42) correct 
