Greg made two similar glass display boxes shaped like triangular prisms. The length of the sides of the base of the first display box is 5 feet, and the length of the sides of the base of the second display box is 10 feet. If the volume of the first display box is 52 ft3, what is the volume of the second display box?

Question

anonymous · Answer

104 i think

anonymous · Answer

5/52:10/x
5x=52(10)
5x=520
x=520/5
x=104

anonymous · Answer

ty

anonymous · Answer

you see while calculating the volume of prism.. it is (base area) * height

But base area = area of triangle = sqrt(3) /4 * a^2... where a is the side of the triangular base

So, when the side is doubled.. the volume and the base area is quadrupled.

So the correct answer will be  52*4= 208 cubic feet

anonymous · Answer

ty, and your sure that is the correct answer because both are choices

anonymous · Answer

yes.. I am.. don't worry about that..

anonymous · Answer

first one is for those who don't pay enough attention and fall into the trap the question has set.. believe me.. I have taught high school students for some years to know this..