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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.

Respuesta :

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

[tex]V=a^{3} [/tex]

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 [tex]11= a^{3} [/tex]
Then [tex]a= \sqrt[3]{11}=2.22 [/tex] feet
Given this height, the vase won't fit since the shelf is only 2 feet below the ceiling.
kayceeports
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.

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