When searching for the volume of a box we are looking for the amount of the space enclosed by the box. To find this we must know the formula for the volume of a box which is $\displaystyle Base*Height*Length=Volume\: of\: box$

Using this formula we plug in the numbers for Base, Height, and Length to get $\displaystyle 5*7*16=560$

Multiply to arrive at the answer of $\displaystyle 560$.

The pool can be seen as a rectangular prism with dimensions 24 meters by 15 meters by 2 meters; its volume is the product of these dimensions, or

$\displaystyle 24 \times 15 \times 2 = 720$ cubic meters.

First we need to determine how many of the small cubes of gouda would fit along one dimension of the large cheese block. One edge of the large block is 24 inches, so 16 smaller cubes $\displaystyle (24\div 1.5)$ would fit along the edge. Now we simply cube this one dimension to see how many cubes fit within the whole cube. $\displaystyle 16^{3}=4096$.

A perfect cube has square faces; if a face has area 1.44 square meters, then each side of each face measures the square root of this, or 1.2 meters. The volume of the tank is the cube of this, or

$\displaystyle 1.2^{3} = 1.728$ cubic meters.

Its capacity in liters is $\displaystyle 1.728 \times 1,000 = 1,728$ liters.

90% of this is 

$\displaystyle 1,728 \times 0.9 = 1,555.2$ liters. 

This rounds to 1,600 liters, the correct response.

The volume of the pool can be determined by multiplying the length, width, and height together.  

$\displaystyle V = 6 \times 8 \times 14 = 672 ft^{3}$

Each cubit foot costs 24 cents, so:

$\displaystyle 672ft^3\times \$0.24=\$161.28\approx \$161$

Weight = Density * Volume

Volume of Gold Cube = side³= x³

Weight of Gold = 16 g/cm³ * x³

Weight of Glass = 3/cm³  * side³

Set the weight of the gold equal to the weight of the glass and solve for the side length:

16* x³ = 2  * side³

side³ = 16/2* x³ =  8 x³

Take the cube root of both sides:

side = 2x

Write the formula to find the volume of a cylinder.

$\displaystyle V=\pi r^2 h$

The radius is half the diameter, which is 3.

Substitute all the known dimensions into the formula.

$\displaystyle V=\pi( 3^2) (5)=45\pi$

Find the side length of the square given the square perimeter. The perimeter of a square is:

$\displaystyle P=4s$

$\displaystyle 4=4s$

$\displaystyle s=1$

The side of the cube has a length of one.

Write the formula to find the volume of a cube.

$\displaystyle V=s^3$

Substitute the side length.

$\displaystyle V=s^3= (1)^3=1\textup{ units}^{3}$

The pool can be seen as a rectangular prism with dimensions $\displaystyle 24$ meters by $\displaystyle 14$ meters by $\displaystyle 2.5$ meters; its volume in cubic meters is the product of these dimensions, which is 

$\displaystyle 24 \times 15 \times 2.5 = 900$ cubic meter.

One cubic meter is equal to one thousand liters, so multiply:

$\displaystyle 900 \times 1,000 = 900,000$ liters of water.

The formula for volume of a rectangular prism is $\displaystyle \small v=l\times w\times h$

$\displaystyle \small v=9\times\2\times5$

$\displaystyle \small v=90cm^3$

Remember, volume is always labeled as units to the third power.