Think back to early in the semester when the weather was cold and often snowy. Imagine that in a parking lot near campus, it snowed quite a bit and the snow was plowed into one giant mound in the corner of the parking lot. The mound was 24 inches high, and it’s base was 36 inches wide. After that day, it warmed up and the mound started melting such that it’s height was decreasing at a rate of 0.5 inches per hour, and the sides of the base were decreasing at a rate of 0.25 inches per hour. (a) Find the rate at which the entire mound of snow was melting, i.e. the rate at which the volume of the mound was decreasing. (V = 1/3 lwh where l is the length of the base, w is the width of the base, and h is the height of the pyramid) (b) How many hours will it take for the mound of snow to be gone?
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.
Think back to early in the semester when the weather was cold and often snowy. Imagine that in a parking lot near campus, it snowed quite a bit and the snow was plowed into one giant mound in the corner of the parking lot. The mound was 24 inches high, and it’s base was 36 inches wide. After that day, it warmed up and the mound started melting such that it’s height was decreasing at a rate of 0.5 inches per hour, and the sides of the base were decreasing at a rate of 0.25 inches per hour.
(a) Find the rate at which the entire mound of snow was melting, i.e. the rate at which the volume of the mound was decreasing. (V = 1/3 lwh where l is the length of the base, w is the width of the base, and h is the height of the pyramid)
(b) How many hours will it take for the mound of snow to be gone?
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