Building blocks

The children's building set consists of cuboids and cubes. Each cuboid has dimensions of 6 cm, 5 cm, and 4 cm, and each cube has an edge 5 cm long. Which of these building blocks has the larger surface area, and by how many square centimeters?

Final Answer:

S₁ =  148 cm²
S₂ =  150 cm²
d =  2 cm²

Step-by-step explanation:

$S_1=2\cdot (6\cdot 5+5\cdot 4+6\cdot 4)=148{\text{cm}}^2$

$S_2=6\cdot 5^2=150{\text{cm}}^2$

$$\begin{gathered} S_2>S_1 \\ d=S_2-S_1=150-148=2{\text{cm}}^2 \end{gathered}$$

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