Tag: measurement of area, volume and density

SI Unit of volume is $m^3$ 

When water freezes into ice, its density decreases, meaning its volume increases (it expands). This expansion is a unique property of water. Statement 1 is true. Statement 2 is false because ice floats with about 90% of its volume submerged, not 50%. Statement 3 is false as a general rule.

Let M_w be the mass of wood and M_c be the mass of concrete. For the combination to float completely submerged, total buoyant force equals total weight: (M_w + M_c)g = (V_w + V_c)rho_w g. Using volumes in terms of mass and specific gravities (0.5 and 2.5), we solve for the ratio of masses to get 3/5.

Let the terms of the AP be a - 3d, a - d, a + d, a + 3d (or standard a, a+d, a+2d, a+3d). Setting up the given condition that the square of the last term equals the sum of squares of the first three terms leads to a quadratic in terms of common difference or number of valid sets, which can be extended infinitely as parameters vary, yielding N -> infinity.

For the resultant force on each corner charge to be zero, the electrostatic force due to the central charge q must balance the repulsive forces from the other three corner charges. Calculating the vector components along the diagonal yields q = -7Q/4.

Let the side length of the square park is $l$.

The area of a square is given as,

$A = {l^2}$

$100 = {l^2}$

$l = 10\;{\rm{m}}$

The error in length is given as,

$\dfrac{{\Delta A}}{A} = 2\dfrac{{\Delta l}}{l}$

$\dfrac{{0.2}}{{100}} = 2\dfrac{{\Delta l}}{{10}}$

$\Delta l = 0.01\;{\rm{m}}$

Thus, the side of the park is $\left( {10 \pm 0.01} \right)\;{\rm{m}}$.

$PV=mRT$

Volume of the object is defined as the space occupied by the object.

$1ml=10^{-3}L=10^{-3}\times10^{-3}m^3=10^{-6}m^3$