Calculate 5873

Calculate the surface area and volume of a large granite paving block with an edge length of 10 cm and a small cube
with an edge length of 5 cm. Compare the results.

Correct answer:

S₁ =  600 cm³
S₂ =  150 cm²
V₁ =  1000 cm³
V₂ =  125 cm³

Step-by-step explanation:

$$\begin{gathered} a_1=10\text{cm} \\ {a}_2=5\text{cm} \\ {S}_1=6\cdot a_1^2=6\cdot 10^2=600{\text{cm}}^3 \end{gathered}$$

$S_2=6\cdot a_2^2=6\cdot 5^2=150{\text{cm}}^2$

$V_1=a_1^3=10^3=1000{\text{cm}}^3$

$$\begin{gathered} V_2=a_2^3=5^3=125=125{\text{cm}}^3 \\ {V}_1>V_2;S_1>S_2 \end{gathered}$$

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