The volume of a cube is given by V = a³. If the side length a is doubled, the new volume is (2a)³ = 8a³, which is 8 times the original volume.

If the length is doubled, the area increases by a factor of four (A = length²).

If the length is doubled, the volume increases by a factor of 2^3 = 8, since volume is proportional to the cube of the length.

The dimensional formula for work is [M^1 L^2 T^-2].

The SI unit of electric charge is Coulomb (C).

The SI unit of energy is Joule (J).

Pressure is defined as force per unit area. The dimensions of force are ML^1T^-2, and area is L^2, thus pressure has dimensions ML^-1T^-2.

The dimension of electric charge is [M^1 L^2 T^-3 I^1].

Frequency is defined as the number of cycles per unit time, thus its dimension is [M^0L^0T^-1].

The gravitational constant G has dimensions of [M^-1L^3T^-2] as it relates mass, distance, and time in the law of gravitation.

The dimensional formula for acceleration is [M^0 L^1 T^-2], as it is defined as the change in velocity per unit time.

The dimensional formula for electric charge is [M^1 L^2 T^-3 I^-1], derived from the definition of current (I = Q/t).

The dimensional formula for frequency is [M^0 L^0 T^-1], as it is defined as the number of cycles per unit time.

Velocity is defined as displacement per unit time, which gives the dimensional formula of [MLT⁻¹].

Work has the dimensional formula [M^1 L^2 T^-2].

1 Joule is defined as 1 Newton-meter, so they are equal.

Weight is defined as the force due to gravity acting on a mass, given by the formula Weight = Mass × g (where g is the acceleration due to gravity).

Energy and work are measured in the same unit, which is Joules (J).

Work and energy are measured in the same unit, which is Joules (J) in the SI system.

The SI unit of pressure is Pascal (Pa), defined as one newton per square meter (N/m²).

Joule is the unit of energy in the SI system, defined as the work done when a force of one newton displaces an object by one meter.

Liter is not a base unit; it is a derived unit for volume, while meter, kilogram, and second are base units.

Joule is not a fundamental unit; it is a derived unit.

The dimensional formula for electric charge is [M^1 L^2 T^-3 A^-1], derived from the definition of current.

The SI unit for electric charge is Coulomb (C).

The correct unit for measuring energy is Joule (J).

Work is defined as force times distance, and its dimensions are ML^2T^-2, which are the same as energy.

Frequency has the dimension of [M^0 L^0 T^-1] as it is defined as the number of cycles per unit time.

Angle is a dimensionless quantity and has the dimension of [M^0 L^0 T^0].

Velocity has the dimension of [M^0 L^1 T^-1], as it is defined as distance per unit time.