What is the surface area of a rectangular prism with length 15 cm, width 4 cm and height 9 cm?
Question
What is the surface area of a rectangular prism with length 15 cm, width 4 cm and height 9 cm?
Solution
The surface area of a rectangular prism is calculated using the formula: 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
Step 1: Substitute the given values into the formula. = 2(15cm)(4cm) + 2(15cm)(9cm) + 2(4cm)(9cm)
Step 2: Calculate each term. = 2(60cm^2) + 2(135cm^2) + 2(36cm^2)
Step 3: Simplify the equation. = 120cm^2 + 270cm^2 + 72cm^2
Step 4: Add all the terms together to get the total surface area. = 462cm^2
So, the surface area of the rectangular prism is 462 square centimeters.
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