Question

How many cuboids of dimensions 4cm by 3cm by 2cm can be cut from a cuboid measuring 8cm × 6cm × 4cm​

Answer 1

Answer:

is  8 cuboids

Step-by-step explanation:

volume of 1 small cuboid = 4×3×2 ⇒24cm³

volume of bigger cube= 8×6×4⇒192cm³

no of cuboid that can be cut out = 192/24⇒8 cuboids

if u find it helpful mark me brainliest please

Answer 2

Answer:

Let the dimensions of the larger cuboids be as follows,

• Length(l) = 8cm
• Breadth(b) = 6cm
• Height(h) = 4cm

Therefore, we have :

Volume of larger cuboid = L×B×H

Substituting the given values, we have:

»» Volume of larger cuboid

= 8cm×6cm×4cm

= 192cm³

Now, considering the given dimensions of the smaller cube,

• Length(l) = 4cm
• Breadth(b) = 3cm
• Height(h) = 2cm

Therefore, we have :

Volume of smaller cuboid = L×B×H

»» 4cm×3cm×2cm

»» 24cm³

Let 'n' be the number of smaller cuboids that can be cut from the larger cuboid.

Thus, we can write as,

n × Volume of smaller cuboid = Volume of larger cuboid

n = Volume of larger cuboid/Volume of smaller cuboid

Substituting the above values,

»» n = 192/24

»» n = 8

Thus, 8 small cuboids can be cut from the larger cuboid.