Worksheet on Geometric Shapes and Solids

Solved Questions on Geometric Shapes and Solids

1. What is the area of the shaded figure ?

a) 42.25 sq. units
b) 42.50 sq. units
c) 42.75 sq. units
d) 52.25 sq. units

Answer: b) 42.50 sq. units 

Explanation: Total number of shaded squares = 17

Area of 1 square = 2.5 sq. units

Therefore, area of shaded figure = 17 × 2.5 = 42.50 sq. units

2. How many angles inside the given figure are equal to three right angles?

a) 4
b) 6
c) 8
d) 10

Answer: c) 6

Explanation: Three right angles = 3 × 90° = 270°  

The figure shows the angles which are 270°.

There are six angles inside the given figure which are equal to three right angles.

3. What is the area of a circular flower bed of diameter 5.6 metres?

[Take π = 22/7]

a) 24 m²
b) 24 m²
c) 64 m²
d) 84 m²

Answer: c) 24.64 m²

Explanation: Diameter = 5.6 m

Radius = Diameter/2
           = 5.6/2 = 2.8 m

Area of a circle = π × Radius × Radius [π = 22/7]
                       = 22/7 × 2.8 × 2.8
                        = 22/7 × 28/10 × 28/10
                         = 24.64 m²

4. Two triangles with equal sides and a rectangle form the given figure. What is the perimeter of the entire figure?

a) 30 cm
b) 32 cm
c) 33 cm
d) 35 cm

Answer: b) 32 cm

Explanation: The labelled figure is:

Perimeter of the figure = (13 + 1.5 + 1.5 + 13 + 1.5 + 1.5) cm = 32 cm

5. In a carton of 91 cm × 56 cm × 35 cm, what is the number of cubical boxes side 7 cm that can be stored in it?

a) 320
b) 420
c) 520
d) 620

Answer: c) 520

Explanation: Volume of cuboidal carton = Length × Breadth × Height
                                       = 91 cm × 56 cm ×  35 cm
                                          = (91 × 56 ×  35) cm³

Volume of cubical box = side × side × side
                                 = 7 cm × 7 cm × 7 cm
                                  = (7 × 7 ×  7) cm³