Question

Two cubes of volume $125c{m}^3$ each is joined end to end, in a row. Find the surface area and volume of the resulting cuboid.

Answer 1

Let the side of a cube $=a$

Volume of the cube = $a^3$

$a^3=125$

$a^3=5^3$

$a=5cm$

If two cubes are joined end to end it becomes cuboid.

Dimensions of cuboid are

Lengh $=l=10$ cm

Breadth $=b=5$ cm

height $=h=5$ cm

Lateral surface Area = $2(l+b)h=2(10+5)5$

$=2\times 15\times 5=15059cm$

Total surface Area = $2(lb+bh+lh)$

$=2(10\times 5+5\times 5+5\times 10)$

$=2(50+25+50)$

$=2\left(125\right)$

$=250sq.cm$

Volume = $lbh=10\times 5\times 5=250$ cubic cm