Question

Init. Geometry Unit test. What is the volume of the following rectangular prism?

A. 120units³
B. 150units³
C. 180units³
D. 200units³

Answer 1

To find the volume of a rectangular prism, multiply the length, width, and height. The volume is 11.4 units³ (A).

Step-by-step explanation:

To find the volume of a rectangular prism, you need to multiply the length, width, and height of the prism. In this case, the given dimensions are 1.80 cm for length, 2.05 cm for width, and 3.1 cm for height.

Therefore, the volume can be calculated as follows:

Volume = Length x Width x Height

Volume = 1.80 cm x 2.05 cm x 3.1 cm

Volume = 11.413 cm³

Since the volume is given in cubic centimeters, the correct answer is 11.4 units³ (A).

Answer 2

The volume of the rectangular prism is 150 units³ (Option B).

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula V = l × w × h, where l is the length, w is the width, and h is the height of the prism. Given the dimensions of the prism, with a length of 5 units, width of 6 units, and height of 5 units, the calculation for the volume would be V = 5 × 6 × 5 = 150 units³.

Understanding the concept of volume in geometry is essential. In this case, the rectangular prism has three dimensions, each contributing to the total space it occupies. By multiplying the length, width, and height together, the volume of the prism is determined. In this instance, the values provided were substituted into the formula to find the volume, resulting in 150 units³.

It's crucial to grasp the relationship between the dimensions of a 3D shape and its volume. Altering any of these dimensions would lead to a different volume. In this scenario, each dimension was multiplied together to find the total volume, showcasing the importance of understanding how the dimensions interact to determine the overall volume of a shape. Therefore, the correct volume of the rectangular prism is indeed 150 units³, aligning with Option B as the accurate choice