Question

The surface area of each face of a cube (r + 4x + 4) cm. Find (i) the length (ii) the volume of the cube. OXFORD Expression​

Answer 1

Answer:

.    A square and a rectangular field with measurements as given in the following figure have the same perimeter. Which field has a larger area?

        

Sol. Let x be the breadth of the rectangle. It is given that the perimeter of a rectangle = perimeter of the square.

        ∴ 2(80 + x) = 4 × 60

        ⇒80 + x = 120

        ⇒x = 120 – 80 = 40

        i.e. breadth of the rectangle = 40 m

        Now, Area of the square = (60 × 60) m2

        = 3600 m2

        and the area of the rectangle = (40 × 80) m2

        = 3200 m2

        Hence, the square field has a larger area.