Question

Two cubes each of volume 64cm are joined end to end find the surface area and volume of the resulting cuboid

Answer 1

In question there is cm ³

Step-by-step explanation:

Given, volume of each cube is 64 cm³

⇒s³=64

⇒s=∛64

⇒s=4 cm.

When two cubes are joined , 

the length of the resulting cuboid(l) = side + side = 4+4 = 8 cm

its breadth(b) = side = 4cm

And its height(h) = side = 4cm

Total surface area of a cuboid = 2(lb+bh+hl)

⇒TSA=2[(8)(4)+(4)(4)+(4)(8)]

⇒TSA=2(32+16+32)

⇒TSA = 2(80)

⇒TSA = 160 cm²

∴ The surface area of the resulting cuboid is 160 cm².

Volume of resulting cuboid = lbh = 8*4*4=128 cm³

Answer 2

Given:-

• Two cubes each of volume 64cm are joined end to end.

To find:-

• Find the surface area and volume of the resulting cuboid.?

Solutions:-

• Let the side of the cube be x cm.

We know that,

• Volume of cube = side³

=> 64 = (x)³

=> 64 = x³

=> √4 × 4 × 4 = x

=> 4cm = x

So, Dimensions of cuboid

• Length = 4 + 4 = 8cm
• Breadth = 4cm
• Height = 4cm

Now,

• Total surface area = 2(lb + bl + lh)

=> 2(8 × 4 + 4 × 4 + 4 × 8)

=> 2(32 +16 + 32)

=> 2(80)

=> 160cm²

Hence, the total surface area of cuboid is 160cm².