Question

A block of wood is in the form of a cube, its
edge is 5 m. How many rectangular pieces of
dimension 20 cm x 10 cm x 10 cm can be cut
from the block?

(a) 620 (b) 62 (c) 6200 (d) 62500​

Answer 1

Answer:

no. of block = 500×500×500/20×10×10

= 62500blocks

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Answer 2

★ Given:

A block of wooden cube of edge 5 m.

Rectangular pieces of dimensions 20 cm x 10 cm x 10 cm.

★ To Find:

The no. of cuboids that can be cut from the cube.

★ Formulae to be used:

→ $\sf{1\:m^3=1000000cm^3}$

→ $\sf{Volume\:of\:cube=a^3}$

→ $\sf{Volume\:of\:cuboid=lbh}$

★ Solution:

First we will find the volume of the cube.

Edge of the cube = 5 m

Volume = a³

= 5³

= 5 x 5 x 5

= 125 m³

To convert m³ to cm³ - multiply with 1000000.

125 m³ = 125000000 cm³

Now we will find the area of the cuboid.

Length = 20 cm

Breadth = 10 cm

Height = 10 cm

Volume = lbh

= 20 x 10 x 10

= 2000 cm³

No. of cuboids that can be cut from the cube

$\sf{=\dfrac{Volume\:of\:cube}{Volume\:of\:cuboid}}$

$\sf{=\dfrac{125000000}{2000}}$

$\sf{=62500\:cuboids}$

Therefore the required no. of cuboids is 62500.

Required Option is Option D.