Final answer:
To calculate the volume of a cuboid with a base area of 54 in² and a height of 9 in, multiply the base area by the height. The volume is 486 in³.
Step-by-step explanation:
The student asked what the volume of a cuboid is if the area of its base is 54 in² and its height is 9 in. To find the volume of a cuboid, we apply the formula V = base area × height, which is rearranged from the more general equation V = Ah, where A represents the base area and h represents the height.
In this case:
- Base Area (A) = 54 in²
- Height (h) = 9 in
Therefore, the volume (V) of the cuboid is calculated as:
V = 54 in² × 9 in
V = 486 in³
So, the volume of the cuboid is 486 cubic inches (486 in³).