Kendra is wrapping a cake that is in a box with a shape of a cube. She wants to know the length of a side so that she makes sure that she has enough wrapping paper. The box says that it contains 343 cubic inches of cake. What is the length of one of the sides of Kendra's cake?

Kendra is wrapping a cake that is in a box with a shape of a cube. She wants to know the length of a side so that she makes sure that she has enough wrapping paper. The box says that it contains 343 cubic inches of cake. What is the length of one of the sides of Kendra's cake?

Question
Solid Geometry
asked 2021-02-05
Kendra is wrapping a cake that is in a box with a shape of a cube. She wants to know the length of a side so that she makes sure that she has enough wrapping paper. The box says that it contains 343 cubic inches of cake. What is the length of one of the sides of Kendra's cake?

Answers (1)

2021-02-06
The volume of a cube with side lenght s is given by: V=s3
Given that V=343 cubic inches, then: \(\displaystyle{343}={s}^{{3}}\) 3sqrt343=s
Since \(\displaystyle{7}^{{3}}={343}\), then: s=7
So, the side lenght of Kendra's cake is 7 inches.
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