Question

how many marbles of 10 cm length and 7cm wide are needed to pave a floor of 7cm length and 4cm wide​

Answer 1

Given:

Marbles of 10 cm length and 7cm wide are needed to pave a floor of 7 m length and 4 m wide​

To find:

No. of marbles

Solution:

Finding the area of the floor required to be paved:

The dimensions of the floor:

Length = 7 m

Width = 4 m

∴ The area of the floor = length × width = 7 × 4 = 28 m²

Finding the area of each marble:

The dimensions of the each marble:

Length = 10 cm = 0.10 m

Width = 7 cm = 0.07 m

∴ The area of each marble = length × width = 0.10 × 0.07 = 7 × 10⁻³ m²

Finding the no. of marbles required to pave the floor:

The required no. of marbles is,

= $\frac{Area \:of floor}{Area \:of \:each\:marble}$

= $\frac{28 \:m^2}{7\times 10^-^3\:m^2}$

= $\frac{28 \times 1000}{7}$

= $\frac{28000}{7}$

= $\bold{4000}$

Thus, 4000 marbles of 10 cm length and 7cm wide are needed to pave a floor of 7 m length and 4 m wide​.

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