Question

a cubodial box has following dimensions LENGHT=5X
BREATH =2X
HEIGHT =X
a.find the volume of cuboid
b.find the lateral surface area of cuboid
c.find the total surface area of cuboid

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Answer 1

Question:-

A cubodial box has following dimensions LENGHT=5X

cubodial box has following dimensions LENGHT=5XBREATH =2X

cubodial box has following dimensions LENGHT=5XBREATH =2XHEIGHT =X

To find:-

a.find the volume of cuboid b.find the lateral surface area of cuboid

c.find the total surface area of cuboid

$\huge\mathfrak\green{Solution:-}$

a. Volume of cuboid =4(length+breadth+height)

Length=5x

Breadth=2x

Height=X

On plugging the values we get

=4(5x+2x+x)

=4(8x)

=14x

The volume of cuboid is 14x units

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b. Lateral surface area of cuboid=2h(l+b)

Length=5x

Breadth=2x

Height=X

On plugging the values we get

=2×x(5x+2x)

=2x(7x)

$= 14 {x}^{2} \: units$

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c. Total surface area of cuboid=2(lb+bh+hl)

Length=5x

Breadth=2x

Height=X

On plugging the values we get

$2(5x \times 2x + 2x \times x + x \times 6x)$

$= 2(10 {x}^{2} + 3 {x}^{2} + 6 {x}^{2})$

$= 2(19 {x}^{2} )$

$= 38 {x}^{2} units$

___________________________________________

Volume of cuboid=14x units

Lateral surface area of cuboid=14x^2 units

Total surface area of cuboid=38x^2 units

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