Question

three cube of volume 125cm3 each are joined end to end to form a cuboid find the total surface area of cuboid

Answer 1

hiii!!!

here's ur answer...

volume of the cube = 125cm³

therefore side³ = 125cm³

==> side = ³√125

==> side = 5cm

VERIFICATION:-

volume of the cube = side³

= 5 × 5 × 5

= 25 × 5

= 125cm³

hence verified

thus the side of the cube is 5cm.

if 3 cubes are joined, then it will form a cuboid of length = 5 + 5 + 5

= 15cm

breadth = 5cm

height = 5cm

TSA of the cuboid formed = 2 ( lb + bh + lh )

= 2 [ ( 15 × 5 ) + ( 5 × 5 ) + ( 15 × 5 ) ]

= 2 ( 75 + 25 + 75 )

= 2 × 175

= 350cm²

hope this helps u..!

Answer 2

☆Hello friend☆

Volume of cube= edge^3
125 cm^3= edge^3

$\sqrt[3]{125 {cm}^{3} } = edge$

5 cm = edge

Now, when we join such 3 cubes in a line
The length of cuboid= 15 cm
Height=5cm
Width= 5 cm

Surface area of cube= 2(lb+bh+hl)
= 2(15×5+ 5×5 + 5×15)cm^2
=2× (75×25×75) cm^2
= 2×175cm^2
= 350 cm^2

Hope it helps

☺☺☺