To solve the problem step-by-step, let's break it down:
1. Calculate the Volume of the Container:
Given the dimensions of the container:
- Length: [tex]\(6 \)[/tex] meters
- Width: [tex]\(2.4 \)[/tex] meters
- Height: [tex]\(2.6 \)[/tex] meters
The volume [tex]\(V\)[/tex] of the container is:
[tex]\[
V_{\text{container}} = \text{Length} \times \text{Width} \times \text{Height}
\][/tex]
When you multiply these dimensions together:
[tex]\[
V_{\text{container}} = 6 \times 2.4 \times 2.6 = 37.44 \text{ cubic meters}
\][/tex]
2. Calculate the Volume of Each TV Box:
Given the dimensions of the TV box:
- Length: [tex]\(0.97 \)[/tex] meters
- Width: [tex]\(0.59 \)[/tex] meters
- Height: [tex]\(0.1 \)[/tex] meters
The volume [tex]\(V\)[/tex] of each TV box is:
[tex]\[
V_{\text{TV box}} = \text{Length} \times \text{Width} \times \text{Height}
\][/tex]
When you multiply these dimensions together:
[tex]\[
V_{\text{TV box}} = 0.97 \times 0.59 \times 0.1 = 0.05723 \text{ cubic meters}
\][/tex]
3. Calculate the Number of TVs that Will Fit in the Container:
To find out how many TV boxes can fit into the container, you divide the volume of the container by the volume of each TV box:
[tex]\[
\text{Number of TVs} = \frac{V_{\text{container}}}{V_{\text{TV box}}}
\][/tex]
Substituting the values:
[tex]\[
\text{Number of TVs} = \frac{37.44}{0.05723} \approx 654.202
\][/tex]
Therefore, approximately 654 TV boxes will fit into one container.
