Question

Duryab has a figure filled with 890 cube without any gaps or overlaps .Each cube has a side length of one unit .Which statement must be true about her figure?

A) it has a volume of 890 cubic units
B) it has an area of 890 square units.
C) it has a length of 890 units
D) it has a width of 890 units

Answer 1

`\textsf{ A) it has a volume of 890 cubic units}`

Explanation:

The volume of a figure is the amount of space it takes up.

In this case, the figure is filled with 890 cubes, each of which has a volume of 1 cubic unit.

Therefore, the total volume of the figure is 890 cubic units.

The other statements are not necessarily true.

• The area of the figure is the amount of space it covers in two dimensions. It is possible for a figure to have a volume of 890 cubic units but have an area of less than 890 square units.
• The length and width of the figure are also not necessarily 890 units. The length and width of a figure are the dimensions of the figure in two dimensions. It is possible for a figure to have a volume of 890 cubic units but have a length and width that are both less than 890 units.

Therefore, the only statement that must be true about Duryab's figure is:

`\textsf{ A) it has a volume of 890 cubic units}`