Math Problem Statement
Solution
Let’s break this down question by question with explanations where required. If you'd like me to solve any specific question, let me know!
Here is a summary of the questions in the image:
-
Question 3
- A trapezoidal prism is to be electroplated at a rate of Rs 25 per square meter.
- Find the expenditure for electroplating.
- Also, calculate the volume of the prism.
-
Question 4
- Frame real-life problems based on surface area:
i) Surface area of face A and its opposite face.
ii) Surface area of faces B & C and their opposites.
iii) Total surface area.
- Frame real-life problems based on surface area:
i) Surface area of face A and its opposite face.
-
Question 5
- A rectangular prism aquarium with:
- Base = 180 cm × 70 cm
- Height = 121 cm
- Find the glass area used when:
- The top is open.
- 0.5% glass is wasted.
- A rectangular prism aquarium with:
-
Question 6
- Tobacco companies label 85% of the surface area of cigarette packs with warnings.
- You need to:
- Label the area with dimensions and add a picture.
-
Question 7
- A hexagonal prism pen stand has:
- Side of hexagon = 3 cm
- Height = 9 cm
- The stand is open at one end.
- Find its total outer surface area.
- A hexagonal prism pen stand has:
-
Question 8
- Calculate the total surface area and volume of the given prism in the diagram.
-
Question 9
- Find the total surface area of a cylinder with:
- Radius = 7 cm
- Height = 15 cm.
- Find the total surface area of a cylinder with:
-
Question 10
- A cylinder-shaped can has:
- Height = 12 cm
- Radius = 3.5 cm
- Label has an overlap of 1.5 cm vertically.
- Find the area of the paper label.
- A cylinder-shaped can has:
Would you like me to solve a particular question? For example:
- Calculating the volume or surface area in specific problems?
- Converting to step-by-step solutions?
5 Related Questions
- How do you calculate the surface area of a trapezoidal prism?
- What is the process for finding the total surface area of a hexagonal prism?
- How do you calculate glass waste in percentage for rectangular aquariums?
- What formula is used to calculate the curved surface area of a cylinder?
- How do you account for overlaps in surface area calculations?
Tip: To calculate the total surface area, always include both lateral (curved) and base areas in your formula. Let me know if you need specific explanations!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Surface Area
Volume
Prisms
Cylinders
Percentage Wastage
Real-World Applications of Geometry
Formulas
Surface Area of a Prism = Lateral Area + Base Areas
Volume of a Prism = Base Area × Height
Surface Area of a Cylinder = 2πr(h + r)
Volume of a Cylinder = πr²h
Percentage Wastage = (Wastage / Total Area) × 100
Theorems
Basic principles of geometry for prisms and cylinders
Area and volume relationships in 3D shapes
Suitable Grade Level
Grades 8-10
Related Recommendation
Surface Area and Volume Formulas for Common 3D Shapes
Surface Area and Volume Calculations for 3D Shapes
Calculating Volumes and Surface Areas of Cubes, Cylinders, and Complex Geometric Shapes
Tips for Finding Surface Areas and Volumes of Common Shapes
3D Geometry: Volume and Surface Area of Cones, Pyramids, Cylinders, and Prisms