Pregunta
- The volume of a closed space can be measured by determining the
number of cubic units that can fit inside a given space without any gaps or
overlaps.
What is the length (in cm ) of each edge of a cube whose volume is
numerically equal to the area of a square whose length of each side
measures 8 cm ?
A. 64
number of cubic units that can fit inside a given space without any gaps or
overlaps.
What is the length (in cm ) of each edge of a cube whose volume is
numerically equal to the area of a square whose length of each side
measures 8 cm ?
A. 64
Ask by Simmons Wang. in the Philippines
Mar 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Each edge of the cube is 4 cm long.
Solución

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Respondido por UpStudy AI y revisado por un tutor profesional
Como
Mind Expander
To find the volume of the cube that is equal to the area of the square, we first determine the area of the square. With each side measuring 8 cm, the area is calculated as 8 cm x 8 cm = 64 cm². The formula for the volume of a cube is V = s³, where s is the length of one edge. Setting s³ equal to the area (64 cm²), we solve s = 4 cm, so the length of each edge of the cube is 4 cm, not 64 cm as indicated in option A.
Now, the next time you encounter problems involving volumes and areas, remember to keep the formulas straight! Mixing them up can take you on a wild number chase. Cubes and squares may seem similar, but they have distinct properties that lead to different calculations.

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