College

A plastic toy is in the shape of the letter L. What is the volume?

A. [tex]$46.5 \, \text{cm}^3$[/tex]
B. [tex]$54.5 \, \text{cm}^3$[/tex]
C. [tex]$17 \, \text{cm}^3$[/tex]
D. [tex]$308 \, \text{cm}^3$[/tex]

Answer :

To determine the volume of a plastic toy in the shape of the letter L, one would typically follow a series of steps. However, since we don't have specific dimensions or any additional information about this L-shaped toy, calculating the exact volume is not possible with the details provided.

Here's how you would usually approach solving a volume problem for an L-shaped object:

1. Divide the Shape into Simpler Parts: An L-shaped object can be divided into two rectangular prisms. This makes it easier to handle the calculations.

2. Calculate the Volume of Each Part: For each of these simpler parts, you would calculate the volume using the formula for the volume of a rectangular prism:
[tex]\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\][/tex]

3. Add the Volumes Together: Once you have the volumes of the two simpler shapes, you would add them together to find the total volume of the L-shaped toy.

Unfortunately, without the specific dimensions, we cannot compute this directly. We can conclude that without additional information, we are not able to determine which of the given options: 46.5 cm³, 54.5 cm³, 17 cm³, or 308 cm³ is correct. More specific details about the dimensions of the L-shape are needed to arrive at a precise answer.