Ram has stacked the cubical cartons one on top of others on the f

Ram has stacked the cubical cartons one on top of others on the floor, what is the volume of stacks of blocks in cubic centimeters?
A) The surface area of the top carton is 60000 sq centimeters.
B) The height of the stack of cartons is 800 centimeters.

The volume of the blocks is equal to the cross-sectional area * height.

Statement (A) tells us the surface area, but not the height, so we cannot calculate volume --> insufficient --> eliminate (a) and (d) (NOTE - if we knew the number of cartons, we could deduce the surface area by determined the edge length of each carton, total height / number of cartons)

Statement (B) tells us the height, but not the surface area, so we cannot calculate volume --> insufficient --> eliminate (b)

Together, we have the surface area and height, which can be used to calculate volume --> sufficient --> answer is (c)

Asked: Ram has stacked the cubical cartons one on top of others on the floor, what is the volume of stacks of blocks in cubic centimeters?

A) The surface area of the top carton is 60000 sq centimeters.
Surface area = x^2 = 60000
\(x = \sqrt{60000} = 245 cm \) approx
Volume of a block \(= (60000)^{3/2} = 14696938\) cubic cm
Volume of a block is known.
But number of blocks in the stack are unknown
NOT SUFFICIENT

B) The height of the stack of cartons is 800 centimeters.
Since side of a block or volume of a block is unknown
NOT SUFFICIENT

(A) + (B)
A) The surface area of the top carton is 60000 sq centimeters.
Surface area = x^2 = 60000
\(x = \sqrt{60000} = 245 cm \) approx
Since it is not mentioned that blocks in stack are of the same size
NOT SUFFICIENT

IMO E

Ram has stacked the cubical cartons one on top of others on the floor, what is the volume of stacks of blocks in cubic centimeters?

A) The surface area of the top carton is 60000 sq centimeters.
It is given that the surface area of the top cubical in the stack is 60000 sq centimeters, but no information is given about the size of the other blocks in the stack or how many blocks the stack contains. So, Insufficient.

B) The height of the stack of cartons is 800 centimeters.
It is given that the height of the stack of blocks is 800 cm, but no information is given about the size of any of the blocks in the stack or how many blocks are in the stack. Insufficient.

1) +2)
Both statements gives no information about the size of the blocks below the top block or how many blocks are in the stack.
For example, there could be two blocks of top cubicle with edges of lengths x cm and y cm and other cubicles have a and b cm. The height of the stack would be 800 cm, and the volume of the stack of blocks could vary. So, insufficient.

Here, we shall not assume anything that is not explicitly stated in the problem. In this problem, it is tempting to assume that all of the blocks are identical. Under the assumption that all of the blocks are identical, the correct answer would be C.

Ans. E

we need area and height for volume .so C is the correct one

(E) Cannot say
Statement-1

For the cube top carton, SA=6s^2=60000 sq cm=6 sq m
Implies s=1m

Statement-2
Height of stack=8m
If the cartons were said to be identical we could have used this to compute the number of cartons and therefore the volume. However, that is not mentioned, and hence E

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(1) The surface area of the top carton is 60000 sq centimeters.
Therefore side of each carton = \(\sqrt{60000/6}\) = 100 cm
But we do not know how many he has stacked up.
So insufficient

(2) The height of the stack of cartons is 800 centimeters.
This can be multiple cases. For example it can be 4 boxes of side 200 cm (area = 32,000,000) or 8 boxes of side 100 cm (area = 8,000,000) or even more ways.

(1) + (2)
Total height is 800 cm and each box is of side 100 cm
So there must me 8 boxes stacked up with side 100 cm each
Sufficient

Answer: C