Calculate the surface area : volume ratio of the 6cm x 2cm x 2cm cuboid
Question
Calculate the surface area : volume ratio of the 6cm x 2cm x 2cm cuboid
Solution
Sure, let's calculate the surface area and volume of the cuboid first.
The surface area (A) of a cuboid is given by the formula: A = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
Substituting the given dimensions into the formula, we get: A = 2(6cm)(2cm) + 2(6cm)(2cm) + 2(2cm)(2cm) A = 24cm² + 24cm² + 8cm² A = 56cm²
The volume (V) of a cuboid is given by the formula: V = lwh
Substituting the given dimensions into the formula, we get: V = (6cm)(2cm)(2cm) V = 24cm³
Finally, the surface area to volume ratio is given by A/V.
So, the surface area : volume ratio of the cuboid is 56cm² : 24cm³ or approximately 2.33 : 1 when rounded to two decimal places.
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