The length, breadth and height of a rectangular prism are 10, 6 and 8 centimetres. Narrow metal strips are to be fixed along all its edges. What is the total length of metal strips needed?

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Solution

Length (l) of the rectangular prism = 10 cm

Breadth (b) of the rectangular prism = 6 cm

Height (h) of the rectangular prism = 8 cm

Surface area of the rectangular prism = 2(lb + bh + hl)

= 2(10 × 6 + 6 × 8 + 8 × 10) cm²

= 2(60 + 48 + 80) cm²

= 2 × 188 cm²

= 376 cm²

Thus, the total length of the metal strips needed to fix along all the edges of the rectangular prism is 376 cm².

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