Question
The lateral surface area of a cube is 484 cm2
. The length of a cuboid is 10% more than the side of the cube. The breadth of the cuboid is 9 cm less than its length and 20% less than its height. Find the total surface area of the cuboid.Solution
Let the length of the cube be ‘a’ cm According to the question, 4a2 = 484 => a2 = 121 => a = 11 Therefore, length of the cuboid = l = 1.1 × 11 = 12.1 cm Breadth of the cuboid = b = 12.1 – 9 = 3.1 cm Height of the cuboid = h = 3.1/0.8 = 3.875 cm Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(12.1 × 3.1) + (3.1 × 3.875) + (12.1 × 3.875)} = 192.82 cm2
If a time series exhibits a cyclical pattern that does not follow a fixed period (e.g., economic cycles), which of the following decomposition methods w...
What is the purpose of the break statement in Python?
A data analyst is working on a survey dataset that records customer feedback as "Very Satisfied," "Satisfied," "Neutral," "Dissatisfied," and "Very Diss...
A dataset contains customer email addresses, and you need to validate the email format. Which of the following methods is most suitable for this task? <...
Which of the following methods is used to ensure stationarity in time series data, a critical prerequisite for ARIMA modeling?
What is the primary objective of Exploratory Data Analysis (EDA) in a data analysis workflow?
A company notices a sudden spike in product returns during a specific quarter. Which type of analysis should be conducted to identify the root cause an...
What is the primary advantage of using CIDR (Classless Inter-Domain Routing) in IP addressing?
When identifying business problems, what is the first step a data analyst should take to ensure clarity and effectiveness in solving the problem?
Which regex symbol matches zero or more occurrences of the preceding character?
