Questions: 87 m^2 = □ cm^2 456 m^3 = □ km^3

Transcript text: 87 \mathrm{~m}^{2}=\square \mathrm{cm}^{2} \\ 456 \mathrm{~m}^{3}=\square \mathrm{km}^{3}

Solution

Solution Steps

To convert square meters to square centimeters, multiply by \(10,000\) (since \(1 \, \text{m}^2 = 10,000 \, \text{cm}^2\)). To convert cubic meters to cubic kilometers, divide by \(10^9\) (since \(1 \, \text{km}^3 = 10^9 \, \text{m}^3\)).

Step 1: Convert \(987 \, \text{m}^2\) to \(\text{cm}^2\)

To convert square meters to square centimeters, multiply by \(10,000\): \[ 987 \, \text{m}^2 \times 10,000 = 9,870,000 \, \text{cm}^2 \]

Step 2: Convert \(87 \, \text{m}^2\) to \(\text{cm}^2\)

Similarly, for \(87 \, \text{m}^2\): \[ 87 \, \text{m}^2 \times 10,000 = 870,000 \, \text{cm}^2 \]

Step 3: Convert \(456 \, \text{m}^3\) to \(\text{km}^3\)

To convert cubic meters to cubic kilometers, divide by \(10^9\): \[ 456 \, \text{m}^3 \times 10^{-9} = 4.56 \times 10^{-7} \, \text{km}^3 \]

Final Answer

\[ \boxed{987 \, \text{m}^2 = 9,870,000 \, \text{cm}^2} \] \[ \boxed{87 \, \text{m}^2 = 870,000 \, \text{cm}^2} \] \[ \boxed{456 \, \text{m}^3 = 4.56 \times 10^{-7} \, \text{km}^3} \]

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