Question

How many wooden cubical blocks of side 25 cm can be cut from a cuboidal block of wood of size 3
suming that there is no wastage of wood? :​

Answer 1

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Given:

Wooden cubical blocks of side 25 cm

Cuboidal block of dimension 3m×75cm×50cm

length = 3m = 300 cm

length = 3m = 300 cmbreadth = 75 cm

length = 3m = 300 cmbreadth = 75 cmHeight = 50 cm

To find:

Amount of wooden cubical block formed from cuboidal block =?

Solution:

$\\ \\ volume \: of \: cube \: = side {}^{3} \\ \\ volume \: of \: cuboid \: = length \times \\ breadth \times height$

$\\ volume \: of \:1 \: wooden \: cubical \: \: \\block = 25 {}^{3} \\ \\ = 25 \times 25 \times 25 \\ \\ = 15625 \: cm {}^{3}$

$\\ \\ volume \: of \: wooden \: cuboidal \\ \: block \: \\ = 300 \times 75 \times 50 \\ \\ = 1125000 \: cm {}^{3}$

We have to divide or cut the wooden cuboidal block to make wooden cubical blocks,

Let x be the number of wooden cubical blocks formed

$\\ x = \dfrac{volume \: of \ cuboidal \: block}{volume \: of \:1 \: cubical \: block} \\ \\ = \dfrac{1125000}{15625} \\ \\ = 72 \: blocks$

Required answer:

Thus, 72 wooden cubical blocks can be cut from wooden cuboidal blocks with no wastage

Knowledge booster:

# Example: If there is 25 cm² cloth then how many handkerchief of 5 cm².

--> We have to cut or divide 25 cm² cloth into handkerchief

Let n be the handkerchief formed

$\\ n = \dfrac{area \: of \: cloth}{area \: of \: one \: handkerchief} \\ \\ = \dfrac{25}{5} \\ \\ = 5 \: handkerchiefs$

# Keep good hold on unit conversion to solve such sums easily

# Solve more such questions to get a good hold on it

Answer 2

Step-by-step explanation:

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