Properties of 2D Shapes: Find perimeter of a square where length of one sides is 2 cm

Solution Perimeter of Square = Side × 4 ⇒ Perimeter = 2 ×4 ⇒ Perimeter = 8 So perimeter is 8 cm

Algebra: Find the value of y: (y × 10) - 17 = 173

Answer is 19. Solution (y × 10) - 17 = 173 ⇒ y × 10 = 173 + 17 (Add 17 with both sides) ⇒ y × 10 = 190 ⇒ y = 190/10 (Divide both sides with 10) ⇒ y = 19 So value of missing number is 19

Volume and Capacity: The two cuboids have the same volume. Their dimensions are 37.3 cm by 11 cm by 8 cm for first cuboide and 9 cm by 14 cm by ____ cm for second cuboide. Find the length of the missing side.

Answer is 26.05 cm. Solution Calculate the volume of the first cuboid: Volume = Length × Width × Height ⇒Volume = 37.3 × 11 × 8 ⇒ Volume = 3,282.4 Volume of both second cuboid is also 3,282.4 let length of missing side is x so 3,282.4 = 9 X 14 × x ⇒ 3,282.4= 126 × x ⇒ 3,282.4/126= x ⇒ x=26.05 So length of missing side is 26.05 cm

Patterns and Sequence: Find the missing number. __ , 55 , 60 , 65 , 70 Answer is 50.

Answer is 50. Solution Difference between consecutive numbers is 5. So missing number will be 55 - 5 ⇒ Missing number = 50

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