How to find the surface area of a right rectangular prism?
A right rectangular prism is a three-dimensional solid whose all 6 faces are rectangles.
Answer: The surface area of a right rectangular prism is given by the formula 2 × (bh + lh + lb), where l is the length, b is the breadth and h is the height of a right rectangular prism.
To find the surface area of a right rectangular prism, we sum up the area of all 6 faces.
Explanation:
Let l be the length, b be the breadth and h be the height of a right rectangular prism. Look at the figure of a right rectangular prism shown below.
The surface area of this solid will be calculated as:
Surface area of a right rectangular prism = (b × h) + (l × h) + (l × b) + (l × h) + (l × b) + (b × h)
= 2 × (b × h + l × h + l × b)
= 2 × (bh + lh + lb)
Let us find the surface of a right rectangular prism with dimensions 10 units × 8 units × 5 units.
Substitute l = 10, b = 8, and h = 5 in the formula to find the surface area of a right rectangular prism.
Surface area of a right rectangular prism = 2 × [(8 × 5) + (10 × 5) + (10 × 8)] square units
= 2 × [40 + 50 + 80] square units
= 340 square units
So, the surface area of a right rectangular prism is given by the formula 2 × (bh + lh + lb), where l is the length, b is the breadth and h is the height of a right rectangular prism.
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