Math, asked by monaashish1988, 2 months ago

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 9911394162
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
Answered by ғɪɴɴвαłσℜ
1

\sf{\huge{\underline{\orange{Given :-}}}}

  • The length breath and hight of a rectangular box is 25 cm ,4cm and 8cm.

\sf{\huge{\underline{\pink{To\:Find :-}}}}

  • The volume of the box.

\sf{\huge{\underline{\purple{Solution :-}}}}

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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