DIRECTION : In the following questions, a statement of assertion (A) ...
When cubes are joined end to end, it will form a cuboid.
l = 2 x 5 = 10 cm , b = 5 cm
and h = 5 cm
Total surface area = 2(lb + bh + lh)
= 2(10 x 5 + 5 + 5 x 10 x 5)
= 2 x 125 = 250 cm2
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DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion and Reasoning
• Assertion: Two identical solid cubes of side 5 cm are joined end to end. Then the total surface area of the resulting cuboid is 300 cm2.
• Reason: The total surface area of a cuboid is 2(lb + bh + lh).
• Option (D) is the correct answer.
Explanation:
• The given assertion is false, and the reasoning is true.
• The total surface area of two identical solid cubes of side 5 cm is (6 x 5 x 5) cm2 = 150 cm2 each.
• When they are joined end to end, the length of the resulting cuboid becomes 10 cm, and the breadth and height remain the same at 5 cm.
• Therefore, the total surface area of the resulting cuboid is 2(10 x 5 + 5 x 5 + 10 x 5) cm2 = 2(100 + 25 + 50) cm2 = 350 cm2.
• Hence, the assertion is false.
• However, the reasoning is true, and the formula for the total surface area of a cuboid is given by 2(lb + bh + lh), where l, b, and h are the length, breadth, and height of the cuboid, respectively.
• Therefore, option (D) is the correct answer as the assertion is false, and the reasoning is true.
DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion =two solid cubes have sides 6cm and 8cm respectively . the difference of lateral surface areas is 112 cm²
reason =lateral surface of a cube of side a cm is 4acm²
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