To determine which cuboid has a greater volume, let's calculate the volume of both.

Volume of the First Cuboid

The formula for the volume of a cuboid is:
$V = \text{length} \times \text{breadth} \times \text{height}$
Substituting the given values:
$V_1 = 9 \times 5 \times 3 = 135 \text{ cm}^3$

Volume of the Second Cuboid (a Cube)

Since the second cuboid is a cube with an edge of 9 cm, its volume is given by:
$V = \text{side}^3$
Substituting the given value:
$V_2 = 9^3 = 729 \text{ cm}^3$

Comparison

$V_2 = 729 \text{ cm}^3 > V_1 = 135 \text{ cm}^3$
Thus, the second cuboid (the cube) has a greater volume.

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Related Questions

1. What is the total surface area of both cuboids?
2. If both cuboids are filled with water, how much more does the cube hold?
3. What is the difference in their surface areas?
4. If the first cuboid’s height doubles, how does its volume compare to the cube’s?
5. How does the diagonal length of both cuboids compare?

Tip:

When comparing volumes, remember that a cube with a given edge length will often have a much larger volume than a rectangular cuboid with the same maximum dimension.