Question

Ms. Collins purchased a vase in a shape of a cube that has a volume of 11 cubic feet. She wants to put it on a shelf on her wall that is 2 feet below the ceiling. Will the vase fit? Explain.

Answer 1

We'll need to find the height of that vase. Note that volume of a cube is given by

$V=a^{3}$

where a is a side of the cube.

It says the volume of the vase in the shape of a cube is 11 cubic feet. So $11= a^{3}$
Then $a= \sqrt[3]{11}=2.22$ feet
Given this height, the vase won't fit since the shelf is only 2 feet below the ceiling.

Answer 2

The cube is a solid figure that is characterized by an even equal size of all its dimensions: length, width and height. The formula for its volume is s³. To interpret the solution of this problem, we have to find the height of the cube. Then, if its height does not exceed the height of the space which is 2 ft, then the vase would fit.

Height = ∛11 ft³ = 2.22 ft

Since it exceeded the 2 ft, then the vase would not fit.