Question

Four cubes each of side 1.5 m are joined end to end. Find the surface area and volume of resulting cuboid​

Answer 1

Answer:

The Total surface area is 40.5 m² and volume is 13.5 m³.

Step-by-step explanation:

Given :

Edge of each cube = 1.5 m

They form = cuboid by joining end to end

To find :

The Volume and Surface area of the resulting cuboid

Solution :

Height of the cuboid = 1.5 m

Length of the cuboid = 4(1.5) = 6 m

Breadth of the cuboid = 1.5 m

★ Volume of the cuboid -

⇒ Length × Breadth × Height

⇒ 6 × 1.5 × 1.5

⇒ 6 × 2.25

⇒ 13.5 m³

Volume of the cuboid = 13.5 m³

$\rule{300}{1.5}$

★ Total Surface Area -

⇒ 2[lb + bh + lh]

⇒ 2[6 × 1.5 + 1.5 × 1.5 + 6 × 1.5]

⇒ 2[9 + 2.25 + 9]

⇒ 2 × 20.25

⇒ 40.5 m²

Total surface area = 40.5 m²

$\therefore$ The Total surface area is 40.5 m² and volume is 13.5 m³.

Answer 2

Given:

Side of cube = 1.5 m

Since 4 cubes are joined end to end, the resulting solid i.e. cuboid will have

Length (l)= 6m (edges i.e. 1.5m will add up as they are joined end to end)

Breadth(b)= 1.5m

Height (h) = 1.5m

Answer:

Formula for surface area of cuboid = 2(lb+lh+bh)

Now,

Surface area of cuboid=

= 2[ (6)(1.5) + (6)(1.5) + (1.5)(1.5) ]

= 2[ 9 + 9 + 2.25 ]

= 2[ 20.25 ]

= 40.5 m²

Formula for volume of cuboid = l×b×h

Now,

Volume =

=6×1.5×1.5

= 13.5 m³

So the surface area of the cuboid is 40.5 m² and volume is 13.5 m³.