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The whole surface of a rectangular block is 8788 square cm. If length, breadth and height are inthe ratio of 4 : 3 : 2, find length.
- a)26 cm
- b)52 cm
- c)104 cm
- d)13 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The whole surface of a rectangular block is 8788 square cm. If length,...
Let the common ratio be = x
Then, length = 4x, breadth = 3x and height = 2x
As per question;
2(4x x 3x + 3x x 2x + 2x x 4x) = 8788
2(12x2 + 6x2 + 8x2) = 8788 fi 52x2 = 8788
fi x = 13
Length = 4x = 52 cm
Then, length = 4x, breadth = 3x and height = 2x
As per question;
2(4x x 3x + 3x x 2x + 2x x 4x) = 8788
2(12x2 + 6x2 + 8x2) = 8788 fi 52x2 = 8788
fi x = 13
Length = 4x = 52 cm
Most Upvoted Answer
The whole surface of a rectangular block is 8788 square cm. If length,...
To solve this question, we can start by setting up the equation based on the given information.
Let's assume the common ratio is x. Then the length would be 4x, the breadth would be 3x, and the height would be 2x.
The total surface area of the rectangular block is given as 8788 square cm. The surface area of a rectangular block is the sum of the areas of all its faces.
The formula for the surface area of a rectangular block is given by:
Surface Area = 2(length * breadth + breadth * height + length * height)
Substituting the values, we have:
8788 = 2(4x * 3x + 3x * 2x + 4x * 2x)
8788 = 2(12x^2 + 6x^2 + 8x^2)
8788 = 2(26x^2)
8788 = 52x^2
Dividing both sides by 52, we get:
x^2 = 169
Taking the square root of both sides, we have:
x = 13
Since the length is given as 4x, we can calculate it as:
Length = 4 * 13 = 52 cm
Therefore, the length of the rectangular block is 52 cm, which corresponds to option B.
Let's assume the common ratio is x. Then the length would be 4x, the breadth would be 3x, and the height would be 2x.
The total surface area of the rectangular block is given as 8788 square cm. The surface area of a rectangular block is the sum of the areas of all its faces.
The formula for the surface area of a rectangular block is given by:
Surface Area = 2(length * breadth + breadth * height + length * height)
Substituting the values, we have:
8788 = 2(4x * 3x + 3x * 2x + 4x * 2x)
8788 = 2(12x^2 + 6x^2 + 8x^2)
8788 = 2(26x^2)
8788 = 52x^2
Dividing both sides by 52, we get:
x^2 = 169
Taking the square root of both sides, we have:
x = 13
Since the length is given as 4x, we can calculate it as:
Length = 4 * 13 = 52 cm
Therefore, the length of the rectangular block is 52 cm, which corresponds to option B.
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The whole surface of a rectangular block is 8788 square cm. If length, breadth and height are inthe ratio of 4 : 3 : 2, find length.a)26 cmb)52 cmc)104 cmd)13 cmCorrect answer is option 'B'. Can you explain this answer?
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