The sum of the length, breadth and height of a cuboid is 24 cm, and the length of its diagonal is 15 cm. The area of its total surface is :
348 cm²
349 cm²
350 cm²
351 cm²

Question

The sum of the length, breadth and height of a cuboid is 24 cm, and the length of its diagonal is 15 cm. The area of its total surface is : 1. 348 cm2 2. 349 cm2 3. 350 cm2 4. 351 cm2

KnowledgeBoat · Accepted Answer

Given, Sum of dimensions : l + b + h = 24 Length of diagonal (d) = 15 cm. We know that, Diagonal of cuboid (d) = ⇒ 15 = Squaring on both sides, ⇒ 152 = ⇒ 225 = l2 + b2 + h2 By formula, (l + b + h)2 = l2 + b2 + h2 + 2(lb + bh + hl) By substituting the values we get, ⇒ (24)2 = 225 + 2(lb + bh + hl) ⇒ 576 = 225 + 2(lb + bh + hl) ⇒ 2(lb + bh + hl) = 576 - 225 ⇒ 2(lb + bh + hl) = 351 Since, Total surface area of cuboid = 2(lb + bh + hl) ∴ Total surface area of cuboid = 351 cm2. Hence, option 4 is the correct option.

Mathematics

The sum of the length, breadth and height of a cuboid is 24 cm, and the length of its diagonal is 15 cm. The area of its total surface is :
348 cm²
349 cm²
350 cm²
351 cm²

Mensuration

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Mathematics

The sum of the length, breadth and height of a cuboid is 24 cm, and the length of its diagonal is 15 cm. The area of its total surface is :348 cm2349 cm2350 cm2351 cm2

Mensuration

Related Questions

460 cm2 of metal sheet is needed to make a closed box of length 12 cm and height 5 cm. The breadth of the box is :10 cm12 cm14 cm16 cm

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The area of cross-section of a hosepipe is 3 cm2. Water flows through it at a speed of 50 cm/sec. How many litres of water flows out of it in one minute?7 litres8 litres9 litres11 litres

The sum of the length, breadth and height of a cuboid is 24 cm, and the length of its diagonal is 15 cm. The area of its total surface is :
348 cm²
349 cm²
350 cm²
351 cm²

460 cm² of metal sheet is needed to make a closed box of length 12 cm and height 5 cm. The breadth of the box is :
10 cm
12 cm
14 cm
16 cm

The volume of a cuboid whose length, breadth and height are 8 cm, 5 cm and 3 cm respectively is :
120 cm³
122 cm³
124 cm³
128 cm³

The area of cross-section of a hosepipe is 3 cm². Water flows through it at a speed of 50 cm/sec. How many litres of water flows out of it in one minute?
7 litres
8 litres
9 litres
11 litres