Answer:
7.5 × 10⁻⁴
Explanation:
[tex]\boxed{\begin{minipage}{5cm}\underline{Volume of a rectangular prism}\\\\\sf V = Length $\times$ Width $\times$ Height\\\end{minipage}}[/tex]
The box can be modeled as a rectangular prism with:
- Length = 10 cm
- Width = 15 cm
- Height = 5 cm
Substitute the given dimensions into the formula to find the volume of the box in cm³:
[tex]\begin{aligned}\implies \sf Volume&=\sf Length \times Width \times Height\\& = \sf 10 \times 15 \times 5\\& = \sf 150 times 5\\& = \sf 750 \; cm^3\end{aligned}[/tex]
As 100 cm = 1 m :
⇒ (100 cm)³ = (1 m)³
⇒ 1,000,000 cm³ = 1 m³
Therefore, to convert the volume of the box into cubic meters, divide the volume in cubic centimeters by 1,000,000.
[tex]\begin{aligned}\implies \dfrac{750}{1000000}&=\dfrac{7.5 \times 10^2}{1.0 \times 10^6}\\&=\dfrac{7.5}{1.0} \times \dfrac{10^2}{10^6}\\&=7.5 \times 10^{(2-6)}\\&=7.5 \times 10^{-4}\end{aligned}[/tex]
Therefore, the volume of the box is 7.5 × 10⁻⁴ m³.
