Question

three cubes of Edge 5 cm are joined together find the volume and total surface area of the results realted solid

Answer 1

if 3 cube of edge 5cm are joined together the total length of the resulting shape will be 15cm.
that is it becomes a cuboid.

total surface area of a cuboid = 2(lb+BH+lh)

=>2[(15*5)+(5*5)+(15*5)

=> 2(75+25+75)

=> 2(175)

= 350 sq.cm

volume of a cuboid = lbh

=> 15*5*5= 375 cm^3

hope this helps you

Answer 2

Each edge of each cube measures 5 cm.

Now,
When 3 of such cubes are joined together, we will surely get a solid and it will be a cuboid.

Now,
Height of the cuboid, h = Edge of the cube = 5 cm

Length of the cuboid, l = 5 + 5 + 5 = 15 cm

Breadth of the cuboid, b = Edge of the cube = 5 cm

Now,

Total surface area of the cuboid ( T.S.A ) = 2 ( l * b + b * h + h * l )

TSA = 2 ( 15 * 5 + 5 * 5 + 5 * 15 )
TSA = 2 ( 75 + 25 + 75 )
TSA = 2 * 175
TSA = 350 square cm
Total surface area of the cuboid = 350 sq. cm or 350 cm^2

Volume of the cuboid ( V ) = l * b * h
V = 15 * 5 * 5
V = 375 cube cm or 375 cm^3
Volume of the cuboid = 375 cu. cm or 375 cm^3

Hence,
Total surface area of resultant solid = 350 cm^2
Volume of the resultant solid = 375 cm^3