Question

3 cube of each side 5cm are joined end to end. find the surface area of the resulting cuboid ..​

Answer 1

Step-by-step explanation:

When three cubes are joined end to end, then the resulting solid is a cuboid.

Length of the cuboid, l = 2 × each side of the cube = 2 × 5 cm = 10 cm

Breadth of the cuboid, b = each side of the cube = 5 cm

Height of the cuboid, h = each side of the cube = 5 cm

Surface area of the cuboid

= 2 (lb + bh + hl)

= 2 (10 cm × 5 cm + 5 cm × 5 cm + 5 cm × 10cm)

= 2 (50 cm2 + 25cm2 + 50 cm2)

= 2 × 125 cm2.

= 250 cm2.

Thus, the surface area of the resulting cuboid is 250 cm2.

Answer 2

$\sf\large{\red{\underline{\blue{\underline{Question:-}}}}}$

3 cube of each side 5cm are joined end to end. find the surface area of the resulting cuboid ..

$\sf\large{\red{\underline{\blue{\underline{Given:-}}}}}$

• $\sf Length = 5cm$
• $\sf Breadth = 5cm$
• $\sf Height = 5cm$

$\sf\large{\red{\underline{\blue{\underline{To\:Find:-}}}}}$

• $\sf Surface\:area\:of\: resulting\:Cuboid=?$

$\sf\large{\red{\underline{\blue{\underline{FORMULA \:USED-}}}}}$

$\sf{\fbox{\purple{\underline{\red{2[ lb+bh+hl]}}}}}$

$\sf\large{\red{\underline{\blue{\underline{Solution:-}}}}}$

$\sf→ 2[lb+bh+hl]\\\sf→ 2[15×5+5×5+15×5]\\\sf→ 2[75+25+75]\\\sf→ 2[175]\\\sf→ 350cm^2$

$\sf\large{\red{\underline{\blue{\underline{Hence:-}}}}}$

$\sf{\fbox{\red{\underline{\purple{surface\:area\:of\: Cuboid=350cm^2}}}}}$