Question

The volume of this cuboid is 200 cm calculate
1)its height
2) it's the surface area
length=10cm
width=4cm

Answer 1

AnswEr :

$\bf{\blue{\underline{\underline{\bf{Given\::}}}}}$

The volume of this cuboid is 200 cm³ and also given length is 10 cm and width is 4 cm.

$\bf{\red{\underline{\underline{\bf{To\:find\::}}}}}$

• Height of the cuboid.
• Surface area of the cuboid.

$\bf{\green{\underline{\underline{\bf{Explanation\::}}}}}$

We know that formula of volume of the cuboid :

$\bf{\large{\boxed{\bf{Volume\:of\:Cuboid\:=\:Length*width*height}}}}}}}$

A/q

$\dashrightarrow\tt{200cm^{3} =10 \:cm\times 4\:cm\times h}\\\\\\\dashrightarrow\tt{200cm^{3} =40cm^{2} \times h}\\\\\\\dashrightarrow\tt{h=\cancel{\dfrac{200cm^{3} }{40cm^{2} }}} \\\\\\\dashrightarrow\tt{\red{h=5\:cm}}$

∴ Height of the cuboid is 5 cm.

&

$\bf{\large{\boxed{\bf{Surface\:area\:of\:Cuboid\:=\:2(lb+bh+lh)}}}}}}}$

$\mapsto\tt{S.A.C=2(lb+bh+lh)}\\\\\\\\\mapsto\tt{S.A.C=2\big[(10*4)+(4*5)+(10*5)\big]cm^{2} }\\\\\\\\\mapsto\tt{S.A.C=2\big[(40)+(20)+(50)\big]cm^{2} }\\\\\\\\\mapsto\tt{S.A.C=2(40+20+50)cm^{2} }\\\\\\\\\mapsto\tt{S.A.C=2(110)cm^{2} }\\\\\\\\\mapsto\tt{\red{S.A.C=220\:cm^{2} }}$

Thus,

The surface area of the cuboid is 220 cm² .

Answer 2

Formulae used:

Volume of cubiod = length×breadth× height

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