Class 10 Maths · Arithmetic Progressions · NCERT Exercise 5.4 · Question 5

A small terrace at a football ground comprises of 15 steps each of which is 50 m long and built of solid concrete. Each step has a rise of $\frac{1}{4}$ m and a tread of $\frac{1}{2}$ m (see Fig. 5.8). Calculate the total volume of concrete required to build the terrace. [Hint: Volume of concrete required to build the first step = $\frac{1}{4}\times \frac{1}{2}\times 50$ m${}^3$.]