Final answer:
The volume of a rectangular prism is computed by multiplying its dimensions (length, width, height). There are several possible dimension combinations that result in a volume of 48 cubic centimeters, such as 1 cm x 4 cm x 12 cm or 2 cm x 4 cm x 6 cm.
Step-by-step explanation:
The volume of a rectangular prism is calculated by multiplying its length, width, and height. Given that a student's rectangular prism has a volume of 48 cubic centimeters, various combinations of the dimensions (length, width, height) can result in this volume as long as the product of these three dimensions equals 48. It's important to note that the dimensions must be in centimeters, as the volume is given in cubic centimeters.
Possible Dimensions
- 1 cm x 4 cm x 12 cm
- 2 cm x 2 cm x 12 cm
- 2 cm x 3 cm x 8 cm
- 2 cm x 4 cm x 6 cm
- 3 cm x 4 cm x 4 cm
To calculate the volume of a rectangular prism, one can use the formula V = lwh, where l is the length, w is the width, and h is the height.
The volume of a rectangular prism formula is obtained by multiplying the length, breadth and height of the prism. To recall, a prism that has 2 parallel rectangular bases and 4 rectangular faces is a rectangular prism. The mathematical literature suggests to any polyhedron like this as a Cuboid. It has 6 flat rectangular faces and all the angles are right-angled. The other names of such rectangular prism are rectangular hexahedron, rectangular parallelepiped and right rectangular prism.