What is the surface area of a (10cm x 4cm x 3cm) brick__________?
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Answer: C. 164 Sq.cm
Explanation
The total surface area of a rectangular brick is calculated using the formula two times length times width plus length times height plus width times height. Substituting the given dimensions of ten, four, and three centimeters into the formula gives respective face area products of forty, thirty, and twelve. Summing these three facial area products and multiplying the total by two yields one hundred sixty four square centimeters. A rectangular prism or brick possesses six distinct flat faces arranged in three pairs of identical parallel rectangles. Surface area measurement quantifies the total two dimensional boundary space enclosing a three dimensional solid object. Standard metric units for surface area are expressed in square centimeters for small physical objects like bricks.
Eighty four square centimeters underestimates the total surface area by omitting several rectangular faces from the calculation. One hundred twenty four square centimeters results from an arithmetic error during the addition of the individual face areas. One hundred eighty square centimeters overestimates the total surface area through incorrect multiplication of the dimension products.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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