Which prism has a greater volume? Prism A has a length of 4, height of 5, and width of 4. Prism B has a length of 3, height of 7, and width of 3. Prism A has 17 more cubic units of volume than prism B. Prism A has 7 more cubic units of volume than prism B. Prism B has 3 more cubic units of volume than prism A. Prism B has 8 more cubic units of volume than prism A.

Prism A has 17 more cubic units of volume than prism B

Step-by-step explanation:

Volume of Prism A :

Volume =

V = 4 × 5 × 4

V = 80

Volume of Prism B:

Volume =

V = 3 × 7 × 3

V = 63

Difference between Prism A and Prism B:

Prism A has a greater volume

=> Prism A - Prism B = 80-63 = 17

A. Prism A has 17 more cubic units of volume than Prism B.

Step-by-step explanation:

* Note: I will assume that these prisms are rectangular prisms *

The volume of a rectangular prism is denoted by: V = lwh, where l is the length, w is the width, and h is the height.

Here, Prism A has length l = 4, height h = 5, and width w = 4. Plug these in:

V = lwh

V = 4 * 4 * 5 = 80 units cubed

Prism B has length l = 3, height h = 7, and width w = 3. Plug these in:

V = lwh

V = 3 * 3 * 7 = 63 units cubed

To find the difference, subtract 63 from 80:

80 - 63 = 17

Thus, the answer is A.

~ an aesthetics lover

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: