Find the volume of the following cylinders.
Find the volume of the following cubes
(a) with a side 4 cm (b) with a side 1.5 m
Find the volume of the following cuboids
Find the total surface area of the following cylinders following figure
Find the surface area of cube A and lateral surface area of cube B (Fig 11.36).
Find the total surface area of the following cuboids (Fig 11.31):
(iii) Find the area of polygon MNOPQR (Fig 11.19) if , , , , NA, and are perpendiculars to diagonal MP.
(ii) Polygon ABCDE is divided into parts as shown below (Fig 11.18). Find its area if , , , and perpendiculars ,, . Area of Polygon ABCDE = area of
Area of trapezium
Area of Area of
So, the area of polygon ABCDE = ....
(i) Divide the following polygons (Fig 11.17) into parts (triangles and trapezium) to find out its area.
FI is a diagonal of polygon EFGHI NQ is a diagonal of polygon MNOPQR
Find the area of these quadrilaterals (Fig 11.14).
1. We know that parallelogram is also a quadrilateral. Let us also split such a quadrilateral into two triangles, find their areas and hence that of the parallelogram. Does this agree with the formula that you know already? (Fig 11.12)
1 Find the area of the following trapeziums (Fig 11.8)
Q2. If h = 10 cm, c = 6 cm, b = 12 cm, d = 4 cm, find the values of each of its parts separetely and add to find the area WXYZ. Verify it by putting the values of h, a and b in the expression .
1 Nazma’s sister also has a trapezium-shaped plot. Divide it into three parts as shown (Fig 11.4). Show that the area of a trapezium
Q.2 Write the perimeter of each shape.
(a) Match the following figures with their respective areas in the box.