Question

how many cubes cut from a cubical block of size 42cm × 30cm × 18cm if each cube has a size of 3cm​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given :

• Length, Breadth, and Height of Cuboid = 42 cm, 30 cm, and 18 cm.
• Side of cube = 3 cm

To find :

• many cubes cut.

Solution :

⇒ Let's find the Volume of Cuboid and Cube.

$\sf \longrightarrow Volume \: of \: Cuboid = length \times breadth \times height$

$\sf \longrightarrow 42 \times 30 \times 18$

$\sf \longrightarrow 22680$

$\sf \longrightarrow 22680 \: cm^3$

$\sf \longrightarrow Volume \: of \: Cube = (side)^3$

$\sf \longrightarrow (3)^3$

$\sf \longrightarrow 3 \times 3 \times 3$

$\sf \longrightarrow 27$

$\sf \longrightarrow 27 cm^3$

⇒ Now, let's find the number of cubes that can be cut.

Number of Cube = Volume of Cuboid/Volume of Cube

= 22680/27

= 840

• Therefore, 840 cubes can be cut from the cuboid block.