The length, breadth and height of a rectangular solid are in ratio 5:

1.	The length, breadth and height of a rectangular solid are in ratio 5: 4: 2.If its total surface area is 1216cm2, find the volume of the solid.
Answer» Step-by-step explanation: The rectangular solid is a cuboid. LET the length of the cuboid =5A, breadth =4a, and height =2a Total surface AREA of a cuboid of length L, breadth b and height h =2(l×b+b×h+l×h) Given, total surface area of the cuboid =1216cm2 ⇒2(5a×4a+4a×2a+2a×5a)=1216cm2 ⇒76a2=1216 ⇒a=4 Hence, the length of the cuboid =5a=20 cm, breadth =4a=16 cm, height =2a=8 cm Hope it help you ...!!

The length, breadth and height of a rectangular solid are in ratio 5: 4: 2.If its total surface area is 1216cm2, find the volume of the solid.

Answer»

Step-by-step explanation:

The rectangular solid is a cuboid.

LET the length of the cuboid =5A, breadth =4a, and height =2a

Total surface AREA of a cuboid of length L, breadth b and height h =2(l×b+b×h+l×h)

Given, total surface area of the cuboid =1216cm2

⇒2(5a×4a+4a×2a+2a×5a)=1216cm2

⇒76a2=1216

⇒a=4

Hence, the length of the cuboid =5a=20 cm, breadth =4a=16 cm, height =2a=8 cm

Hope it help you ...!!

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The length, breadth and height of a rectangular solid are in ratio 5: 4: 2.If its total surface area is 1216cm2, find the volume of the solid.​

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The length, breadth and height of a rectangular solid are in ratio 5: 4: 2.If its total surface area is 1216cm2, find the volume of the solid.