Question

a block weighs 5² Kg. What would be the weight of a wall built with 5⁴ such blocks?





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Answer 1

Given:

• Weight of 1 block = 5² kg
• A wall is built with 5⁴ blocks.

To find:

• Weight of the wall.

Solution:

We are given that,

• Weight of 1 block is 5² kg
• A wall is built with 5⁴ similar blocks.

Weight of 1 block = 5² kg (or 25 kg)

Weight of 5⁴ blocks = 5⁴ × 5² [Unitary method]

$\bigstar {\mathfrak {\orange {Using\ law\ of\ indices,\ a^{m} \times a^{n} = a^{m+n}}}}$

$\sf{ {5}^{4 + 2} }$

= 5⁶ kg

As the wall is built from 5⁴ blocks, then weight of all the blocks will be equal to weight of the wall.

Weight of the wall:

$\boxed {\bf {\red {Weight\ of\ the\ wall\ is\ 5^{6}\ kg}}}$