SOLUTION: Harriet has a cube-shaped gift box with a volume of the gift box is 27in^3. The gift she wants to fit in the box is to large, so she must use a cube-shaped box with sides that are

Algebra.Com
Question 519123: Harriet has a cube-shaped gift box with a volume of the gift box is 27in^3. The gift she wants to fit in the box is to large, so she must use a cube-shaped box with sides that are twice as long. What is the volume of the larger box?
A. 243in^3
B. 216in^3
C. 81in^3
D. 54in^3

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The sides of a cube do not have linear measure. The word "side" when applied to a cube or other prism refer to the faces or facets of the solid figure. I believe that you meant that the edges of the new box were twice as long as the edges of the old box.

You can actually answer the question in general. Let's say that we start with a box that has edges that measure . Then the larger box must have edges that measure . The volume of the small box is then and the volume of the larger box is . And it is clear that the larger cube has 8 times the volume of the smaller.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


RELATED QUESTIONS

Tamika has a hard rubber ball whose circumference measures 13 inches. She wants to box it (answered by Earlsdon)
A gift box has a volume of 495 cubic inches. If the area of the base measures 99 square... (answered by Alan3354)
a company wants to manufature gift boxes in the shape of rectangular prisms .each gift... (answered by solver91311,htmentor)
Amy has a pen 13 cm long that she wants to send as a gift to a friend. She finds a... (answered by timofer,ikleyn)
Bella is wrapping a cube-shaped gift box that measures 8.5 inches along each edge. How... (answered by Edwin McCravy,ikleyn)
You are packing a boxed gift in a larger shipping box. The dimensions of the shipping box (answered by jorel555)
Amy has a pen 15 cm long that she wants to send as a gift to a friend. She finds a... (answered by Boreal)
Amy has a pen 15 cm long that she wants to send as a gift to a friend. She finds a... (answered by ikleyn)
The radius of a cylindrical gift box is (2x+3) in. The height of the gift box is twice... (answered by Alan3354)