Ratio of the volume and total surface area of a cuboid is 15:16. Find the ratio of length and breadth.
please answer it right it's urgent
Answers
Answer:
Given, three cube are placed adjacent in a row to form a cuboid.
Let the side of cube be a, three cube placed in row then breadth of cuboid be a, length of cuboid is 3a, height of cuboid is a.
Sum of total surface area of three cubes =6a
2
+6a
2
+6a
2
=18a
2
Total surface area of resulting cuboid =2(lb+bh+lh)
=2(3a×a+a×a+3a×a)
=2(7a
2
)
=14a
2
Ratio of total surface area of cuboid to that of cube =
18a
2
14a
2
=
9
7
=7:9
Was this answer helpful?
please mark my answer as brinliest
Step-by-step explanation:
volume of cuboid = l×b×h
tsa of cuboid = 2(lb+bh+hl )
Given, three cube are placed adjacent in a row to form a cuboid.
Let the side of cube be a, three cube placed in row then breadth of cuboid be a, length of cuboid is 3a, height of cuboid is a.
Sum of total surface area of three cubes =6a
2
+6a
2
+6a
2
=18a
2
Total surface area of resulting cuboid =2(lb+bh+lh)
=2(3a×a+a×a+3a×a)
=2(7a
2
)
=14a
2
Ratio of total surface area of cuboid to that of cube =
18a
2
14a
2
=
9
7
=7:9