Question

A series of steps lead to a temple. The number of steps is 30. The height of each step is 20 cm. Then find the height of the temple from the base.

Answer 1

Hint: Given in the question, the height of each step is 20 cm and there are 30 such steps. We solve this question by simply multiplying the height of each step with the number of steps. This will give us the total height of the steps, on top of which rests the temple. So, calculating the height of steps also gives us the height of the temple.

Complete step by step solution:
In order to solve this question, let us take note of the given data in the question. The number of steps leading to the temple is given by,
$\Rightarrow \text{Number of steps = 30}$
Now, it is also said that the height of each such step is given as,
$\Rightarrow \text{Height of each step = 20 cm}$
Now, in order to calculate the total height at which the temple lies, we just need to calculate the total height of all the steps. This can be done by multiplying the number of steps with the height of each step.
$\Rightarrow \text{Height of the temple = 30}\times \text{20 cm}$
Taking a product of the two terms,
$\Rightarrow \text{Height of the temple = 600 cm}$
We know the relation between metre and centimetre as $1m=100cm.$ Using this in the above equation, we get the 600 cm in terms of m as,
$\Rightarrow \text{Height of the temple = 6 m}$

Hence, the height of the temple from the base is given by 6 m or 600 cm.

Note:
We need to know the conversion of units in order to represent the answer in terms of different units. Care must be taken while solving such questions, because we need to note from the question that the height of the temple is the same as the height of all the steps and they are not different.