SOLUTION: The inside Dimensions of a box are 2 by 3 by 4 ft. Find the dimensions of a packing box of the same shape which will hold 8 times as much.
Algebra.Com
Question 957832: The inside Dimensions of a box are 2 by 3 by 4 ft. Find the dimensions of a packing box of the same shape which will hold 8 times as much.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
a box that will hold 8 times as much by volume would need to be double the dimensions.
it would have to be 4 by 6 by 8.
the volume of a 2 by 3 by 4 box is 2 * 3 * 4 = 24 cubic feet.
the volume of a 4 by 6 by 8 box is 4 *6 * 8 = 192 cubic feet.
192 cubic feet / 24 cubic feet is equal to 8.
the 192 cubic foot box is 8 times as large as the 24 cubic foot box.
in a 3 dimensional figure, if the dimensions are doubled, then the volume is multiplied by 8.
normal dimensions are x * y * z.
doubled dimensions are 2x * 2y * 2z which is the same as 8 * x * y * z.
RELATED QUESTIONS
A packing box of dimensions 4 in. by 9 in. by 2 in. A smaller box has dimensions 2 in.... (answered by FrankM)
The inside dimensions of a trunk are 5 ft., 4ft.,3 ft. Find the dimensions of a trunk... (answered by Alan3354,Boreal)
A packing box has a dimension of 4 inches by 9 inches by 2 inches. A smaller box has a... (answered by josgarithmetic)
suppose you are packing a box that measures 1 3/4 ft by 1 1/2 ft. How much longer is the... (answered by MathLover1)
You are packing a boxed gift in a larger shipping box. The dimensions of the shipping box (answered by jorel555)
A solid spherical ball of radius 6cm is put inside a plastic hollow box of dimensions... (answered by ikleyn)
a cubic packing box has dimensions of 1.2 feet on each side. What is the volume of the... (answered by rfer)
A cubic box has inside dimensions of 10 by 10 by 10 inches.
What is the longest pole of... (answered by ikleyn)
This is the question:
A small box is placed inside a larger box. The dimensions of... (answered by jim_thompson5910)