the length breath and hight of a rectangular box is 25 CM 4cm and 8cm respectively find the volume of the box
Answers
Answered by
1
Let length=l=4x, Breadth=b=3x and height=h=2x
Total surface area of a cuboid=2(lb+bh+lh)
⇒2548=2(4x×3x+3x×2x+4x×2x)
⇒1274=12x
2
+6x
2
+8x
2
⇒26x
2
=1274
⇒x
2
=
26
1274
=49
∴x=7cms
∴l=4x=4×7=28cm
b=3x=3×7=21cm and h=2x=2×7=14cm
∴length=28cm, Breadth=21cm and height=14c
Total surface area of a cuboid=2(lb+bh+lh)
⇒2548=2(4x×3x+3x×2x+4x×2x)
⇒1274=12x
2
+6x
2
+8x
2
⇒26x
2
=1274
⇒x
2
=
26
1274
=49
∴x=7cms
∴l=4x=4×7=28cm
b=3x=3×7=21cm and h=2x=2×7=14cm
∴length=28cm, Breadth=21cm and height=14c
Answered by
1
- The length breath and hight of a rectangular box is 25 cm ,4cm and 8cm.
- The volume of the box.
We have,
- Length = 25 cm
- Breadth = 4cm
- Hieght = 8cm
The object is rectangular box = Cuboid
Hence,
The volume of the box = Volume of cuboid.
We know that the Volume of cuboid = l × b × h
➝ 25 × 4 × 8
➝ 25 × 32
➝ 800cm³
The volume of the box is 800 cm³.
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