The length, breadth and height of a rectangular solid are in the ratio 5 : 4:2. If the total surface area is 2736 cm”, find the dimensions of the solid.
Answers
Answer:
Correct option is
A
20
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 =1216cm
2
⇒2(5a×4a+4a×2a+2a×5a)=1216cm
2
⇒76a
2
=1216
⇒a=4
Hence, the length of the cuboid =5a=20 cm, breadth =4a=16 cm, height =2a=8 cm
Answer:
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)
Step-by-step explanation:
Given, total surface area of the cuboid =1216cm
2⇒2(5a×4a+4a×2a+2a×5a)=1216cm2
⇒76a
2
=1216
⇒a=4
Hence, the length of the cuboid =5a=20 cm, breadth =4a=16 cm, height =2a=8 cm