Volume Of Rectangular Prism Word Problems Worksheet Pdf
A rectangular prism is a three-dimensional solid shape with six rectangular faces. It has a length (l), height (h), and width (w). The volume of a rectangular prism can be calculated by multiplying the length, height, and width together. In real-life situations, rectangular prisms are often used to calculate the volume of boxes or containers. To help students practice this concept, teachers often give out worksheets with volume of rectangular prism word problems. Here is a detailed guide on how to approach these types of problems.
Understanding the Problem
The first step to solving a word problem involving a rectangular prism is to read and understand the problem. Make sure to identify the dimensions of the rectangular prism given in the problem. Label the dimensions as length (l), height (h), and width (w). Also, take note of any other information given that may be relevant to solving the problem such as the measurement units or any constraints.
Visualizing the Problem
After understanding the problem statement, it is helpful to visualize the rectangular prism. Draw a rough sketch of the rectangular prism described in the problem statement. Label the dimensions (l, h, w) based on the information given in the problem. This will help in visualizing the problem and also to avoid making errors in calculations.
Formulating an Equation
Next, formulate an equation to calculate the volume of the rectangular prism. Volume of Rectangular Prism = l x w x h. Substitute the values of length, width, and height into the equation to calculate the volume. Make sure to use the correct units of measure as given in the problem.
Solving the Problem
Once the equation has been formulated, solve the problem by performing the necessary calculations. Calculate the product of the length, width, and height to obtain the volume of the rectangular prism. It is important to ensure that the volume is expressed in the correct units of measure as given in the problem.
Examples of Volume of Rectangular Prism Word Problems
Here are some examples of volume of rectangular prism word problems:
Example 1:
A box has a length of 6 cm, a height of 4 cm, and a width of 8 cm. What is the volume of the box?
Solution:
Volume of rectangular prism = length x width x height
Volume = 6 cm x 8 cm x 4 cm
Volume = 192 cubic cm
The volume of the box is 192 cubic cm.
Example 2:
A rectangular tank has a length of 12 m, a width of 5 m, and a height of 3 m. If the tank is filled with water, what is the volume of water in the tank?
Solution:
Volume of rectangular prism = length x width x height
Volume = 12 m x 5 m x 3 m
Volume = 180 cubic m
The volume of water in the tank is 180 cubic m.
Conclusion
Solving word problems related to volume of rectangular prisms can be challenging for some students. However, with the right approach, it is possible to solve such problems with ease. By understanding the problem statement, visualizing the rectangular prism, formulating an equation, and solving the problem, students can easily solve such problems. Therefore, practicing volume of rectangular prism word problems worksheets in pdf format can be really helpful for students to master this concept.
