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Find the volume of a cubical box if the cost of painting it's outer surface is rupees 1440 at the rate of rupees 15 per square metre?
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Find the volume of a cubical box if the cost of painting it's outer su...
Volume of a Cubical Box
- Given: Cost of painting the outer surface = Rs. 1440 and rate = Rs. 15 per sq. m.
- To find: Volume of the cubical box.
Step 1: Find the surface area of the cubical box
- A cube has 6 faces of equal area.
- Therefore, the surface area of the cubical box = 6 x (side)^2
Step 2: Find the cost of painting one sq. m. of the surface
- Given: Rate of painting = Rs. 15 per sq. m.
- Therefore, cost of painting one sq. m. of the surface = Rs. 15
Step 3: Find the total area of the surface to be painted
- Given: Cost of painting the outer surface = Rs. 1440
- Let the surface area of the cubical box be A sq. m.
- Therefore, A x Rs. 15 = Rs. 1440
- => A = Rs. 1440/Rs. 15 = 96 sq. m.
Step 4: Find the side of the cubical box
- Surface area of a cube = 6 x (side)^2
- Given: Surface area of the cubical box = 96 sq. m.
- Therefore, 6 x (side)^2 = 96
- => (side)^2 = 16
- => side = 4 m.
Step 5: Find the volume of the cubical box
- Volume of a cube = (side)^3
- Therefore, volume of the cubical box = (4)^3 = 64 cubic metres.
Final Answer:
- The volume of the cubical box is 64 cubic metres.
Community Answer
Find the volume of a cubical box if the cost of painting it's outer su...
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Find the volume of a cubical box if the cost of painting it's outer surface is rupees 1440 at the rate of rupees 15 per square metre?
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Find the volume of a cubical box if the cost of painting it's outer surface is rupees 1440 at the rate of rupees 15 per square metre? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the volume of a cubical box if the cost of painting it's outer surface is rupees 1440 at the rate of rupees 15 per square metre? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the volume of a cubical box if the cost of painting it's outer surface is rupees 1440 at the rate of rupees 15 per square metre?.
Find the volume of a cubical box if the cost of painting it's outer surface is rupees 1440 at the rate of rupees 15 per square metre? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the volume of a cubical box if the cost of painting it's outer surface is rupees 1440 at the rate of rupees 15 per square metre? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the volume of a cubical box if the cost of painting it's outer surface is rupees 1440 at the rate of rupees 15 per square metre?.
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