Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![### Educational Exercise on Volume Calculation
#### Image Description:
Two geometric shapes are depicted in the diagram above. The first shape is a triangular prism, and the second shape is a triangular pyramid.
- **Triangular Prism:**
- Dimensions:
- Base: \(12 \text{ m} \times 12 \text{ m}\)
- Height: \(6 \text{ m}\)
- **Triangular Pyramid:**
- Dimensions:
- Base: \(12 \text{ m} \times 12 \text{ m}\)
- Height: \(6 \text{ m}\)
**Exercise:**
Complete the following. Write your answers in simplest form.
1. **Volume of the Prism:**
\[
\boxed{\phantom{0}} \text{ m}^3
\]
2. **Volume of the Pyramid:**
\[
\boxed{\phantom{0}} \text{ m}^3
\]
3. **Volume of the Pyramid:**
\[
\boxed{\phantom{0}} \times \text{ Volume of the Prism}
\]
Expected Options:
- [ ] This equation is true only for the triangular prism and triangular pyramid shown above.
- [ ] This equation is true for all triangular prisms and triangular pyramids.
- [ ] This equation is true for all triangular prisms and triangular pyramids with congruent bases and equal heights.
**Note:** Click ‘Check’ to verify your answers.
---
**Diagrams Explanation:**
1. **Triangular Prism**:
- The left side of the image displays a triangular prism with a base measuring \(12 \text{ m} \times 12 \text{ m}\) and a height of \(6 \text{ m}\).
2. **Triangular Pyramid**:
- The right side shows a triangular pyramid with the same base (\(12 \text{ m} \times 12 \text{ m}\)) and height (\(6 \text{ m}\)) as the prism.
These diagrams are intended to help you visualize the shapes whose volumes you need to calculate in the exercise.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F550c2c8a-e869-4cc2-9338-8dc4995fc738%2Fe8b607f3-1638-43d1-9010-5819ee968985%2Fpibec62_processed.jpeg&w=3840&q=75)
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