37. Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat mixture used to fill the raised bed costs $15.75 per cubic yard. What is the total cost of the ingredients used to fill the raised garden? nontractor digs a holo in houco
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 Content: Volume and Surface Area Problems
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**34. Problem Statement:**
The numerical value of the volume of a cube is twice the numerical value of its total surface area. What is the length of each edge of the cube?
**35. Problem Statement:**
The sum of the lengths of all edges of a cube is 60 cm. Find the volume \( V \) and the surface area \( T \) of the cube.
**36. Problem Statement:**
A concrete pad 4 inches thick is to have a length of 36 feet and a width of 30 feet. How many cubic yards of concrete must be poured?
**37. Problem Statement:**
Zaidah plans a raised flower bed 2 feet high by 12 feet wide by 15 feet long. The mulch, soil, and peat mixture used to fill the raised bed costs $15.75 per cubic yard. What is the total cost of the ingredients used to fill the raised garden?
**38. Problem Statement:**
In excavating for a new house, a contractor digs a hole in the shape of a right rectangular prism. The dimensions of the hole are 54 feet long by 36 feet wide by 9 feet deep. How many cubic yards of dirt were removed?
**39. Problem Statement:**
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 inches per side. If the congruent squares that are removed have sides that measure 6 inches each, what is the volume of the box formed by folding and sealing the flaps?
**Explanation:**
A diagram is provided showing the layout of the cardboard before the edges are folded. The cardboard is a square with a side length of 24 inches. Each corner of the square is cut out to form a smaller square, each with a side length of 6 inches. After cutting out these corners, the remaining flaps are folded up to form the sides of the box.
- **Diagram Description:**
- Central square with a side length of 24 inches.
- Four squares, each with a side length of 6 inches, one at each corner of the central square.
- The arrows indicate that the flaps will be folded up to form the sides of the box.
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**40. Problem Statement:**
As in Exercise 39, find the volume of the box if four congruent squares with](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945b10b0-0c22-48ad-878e-6ed5d406b626%2Faace2e94-e398-45f8-aaa0-befccd5ff12d%2Faykbm9h_processed.jpeg&w=3840&q=75)
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