Answer:
D. [tex]1875\text{ cm}^3[/tex]
Step-by-step explanation:
We have been given an image of a container and we are asked to find the volume of our given container.
To find the volume of our given container we will use volume of cuboid formula.
[tex]\text{Volume of cuboid}=l*w*h[/tex], where,
[tex]l=\text{Length of cuboid}[/tex],
[tex]w=\text{Width of cuboid}[/tex],
[tex]h=\text{Height of cuboid}[/tex].
We can see that a smaller cuboid is inside the bigger cuboid, so volume of container will be equal to volume of bigger cuboid minus volume of smaller cuboid.
[tex]\text{Volume of container}=\text{20 cm*20 cm *5 cm}-(\text{5 cm*5 cm*5 cm)}[/tex]
[tex]\text{Volume of container}=2000\text{ cm}^3-125\text{ cm}^3[/tex]
[tex]\text{Volume of container}=1875\text{ cm}^3[/tex]
Therefore, the volume of our given container is 1875 cubic inches and option D is the correct choice.
