Question: A rectangular prism has dimensions of 4 cm by 5 cm by 6 cm. What is the total surface area of the prism?
(A) 94 cm²
(B) 120 cm²
(C) 148 cm²
(D) 188 cm²
Solution:
Use the formula for the surface area of the rectangular prism:
Surface Area=2(lw+lh+wh)
Given length l=4 cm, width w=5 cm, and height h=6 cm:
Surface Area=2(4×5+4×6+5×6)
Surface Area=2(20+24+30)
Surface Area=2×74
Surface Area=148 cm²
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