Mensuration Test - 1

Explanation:

 140 x 2450 = 343000

Cube root of 343000  = (343000)^1/3 = (70³)^1/3 = 70

Explanation:

The surface area of a three-dimensional figure is the sum of the areas of all its faces.

Explanation:

Diagonal of the quadrilateral shaped field = 24 m 

Perpendiculars dropped on the diagonal from the remaining opposite vertices = 6 m and 12 m

Area of a quadrilateral = 1/2× diagonal × sum of the perpendiculars dropped on it from remaining opposite vertices

                               = 1/2 x 24 x (6+12)

                               = 12 x18

                               = 216m²

Explanation:

Length of  the cuboid = 8 cm

Width of the cuboid = 3 cm

Height of the cuboid = 5 cm

Volume of  a cuboid  = length × breadth × height

Therefore, Volume of the given  cuboid = 8x3x5 = 120 cm³

Explanation:

Given that,Base of the triangle = 4 cm

Altitude of the triangle = 6cm

Area of a triangle = 1/2× base × altitude

So,Area of the given triangle = (1/2) x 4x 6 =12cm²

Explanation:

Length of the rectangle,l = 4cm

Breadth of the rectangle,b = 3 cm

Perimeter of a rectangle = 2(l+b) = 2(4+3) = 2x7 = 14 cm

Explanation:

Here, r = 20cm     h =7cm

Volume of a cylinder = πr² h

                              =22/7 x 20 x 20 x 7

                               = 8800 cm³

Explanation:

Area of a trapezium =( Half of the sum of the length of parallel sides )×(perpendicular distance between them)

Explanation:

Length of the cuboid = 8 cm

Breadth of the cuboid = 6 cm

Height of the cuboid = 3.5 cm

Volume of the cuboid = length × breadth × height

                                   = 8 x 6 x 3.5 = 168cm³

Therefore,volume of  the cuboid = 168cm³