2005Mathematics Teaching in the Middle SchoolRequires access

Menu of Problems: February 2005

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Abstract

Using a centimeter as the unit of measure, draw a cube that has a surface area numerically equal to its volume. What are the dimensions of the cube? (Hint: Given a 1 cm × 1 cm × 1 cm cube, what is the ratio of the surface area to the volume? Try a 2 cm × 2 cm × 2 cm cube, and so on.)

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Using a centimeter as the unit of measure, draw a cube that has a surface area numerically equal to its volume. What are the dimensions of the cube? (Hint: Given a 1 cm × 1 cm × 1 cm cube, what is the ratio of the surface area to the volume? Try a 2 cm × 2 cm × 2 cm cube, and so on.)

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Available abstract

Using a centimeter as the unit of measure, draw a cube that has a surface area numerically equal to its volume. What are the dimensions of the cube? (Hint: Given a 1 cm × 1 cm × 1 cm cube, what is the ratio of the surface area to the volume? Try a 2 cm × 2 cm × 2 cm cube, and so on.)

Key concepts: Cube (algebra), Unit cube, Volume (thermodynamics), Measure (data warehouse), Surface (topology), Unit (ring theory), Mathematics, Geometry

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