The volume of a cuboid is 14400 cm3 and its height is 15 cm. The cross-section of the cuboid is a rectangle having its sides in the ratio 5 : 3. Find the perimeter of the cross-section.

Question

KnowledgeBoat · Accepted Answer

Given, Volume of cuboid = 14400 cm3 Height = 15 cm Given, The cross-section of the cuboid is a rectangle having its sides in the ratio 5 : 3. Let length = 5x and breadth = 3x. We know that, Volume of cuboid = l × b × h ⇒ 14400 = 5x × 3x × 15 ⇒ 15x2 = ⇒ 15x2 = 960 ⇒ x2 = ⇒ x2 = 64 ⇒ x = ⇒ x = 8. ∴ Sides of the rectangle : ⇒ Length = 5x = 5 × 8 = 40 cm. ⇒ Breadth = 3x = 3 × 8 = 24 cm Perimeter of cross-section = 2(l + b) = 2(40 + 24) = 2(64) = 128 cm. Hence, perimeter of cross section = 128 cm.

Mathematics

The volume of a cuboid is 14400 cm³ and its height is 15 cm. The cross-section of the cuboid is a rectangle having its sides in the ratio 5 : 3. Find the perimeter of the cross-section.

Mensuration

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Mathematics

The volume of a cuboid is 14400 cm3 and its height is 15 cm. The cross-section of the cuboid is a rectangle having its sides in the ratio 5 : 3. Find the perimeter of the cross-section.

Mensuration

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The volume of a cuboid is 14400 cm³ and its height is 15 cm. The cross-section of the cuboid is a rectangle having its sides in the ratio 5 : 3. Find the perimeter of the cross-section.

A class room is 12.5 m long, 6.4 m broad and 5 m high. How many students can it accommodate, if each student needs 1.6 m² of floor area ? How many cubic metres of air would each student get?

The area of a path is 6500 m². Find the cost of covering it with gravel 14 cm deep at the rate of ₹ 5.60 per cubic metre.