If the perimeter of a cuboid is 96 m, whose length is 12 m and height is 7 m, what is the volume of the cuboid?

Correct option is D

Given:

The perimeter of the cuboid is 96 meters.
The length of the cuboid is 12 meters.
The height of the cuboid is 7 meters.

Formula Used:

The perimeter of a cuboid is given by the formula:
P = 4 × (Length + Breadth + Height)
The volume of a cuboid is given by the formula:
V = Length × Breadth × Height

Solution:

1. Use the perimeter formula to find the breadth:
96 = 4 × (12 + Breadth + 7)
96 = 4 × (19 + Breadth)
96 = 76 + 4 × Breadth
96 - 76 = 4 × Breadth
20 = 4 × Breadth
Breadth = 5 meters
 Use the volume formula to calculate the volume:
V = 12 × 5 × 7 = 420 cubic meters

Thus, the volume of the cuboid is 420 cubic meters.