The formula for finding the volume of a rectangular prism is v = bh. a rectangular prism with a volume of 150 cubic units will have what dimensions:

a. 9, 3 and 2
b. 7, 5 and 4
c. 5, 6 and 5
d. 8, 3 and 4

option C

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

where

B is the area of the base of the prism

h is the height of the prism

In this problem we have

Verify the volume of the prism in each case

case A)

case B)

case C)

> is the solution

case D)

Answer :

C. 5, 6 and 5

Explanation:

the volume of a rectangular prism is V = Bh

Where B represents base area = base * width

h represents the height of the prism

given volume = 150 cubic units

We check which each option

A. 9, 3 and 2  

Volume = 9 * 3* 2= 54 cubic units

B. 7, 5 and 4

Volume = 7*5 * 4= 140 cubic units

C. 5, 6 and 5

Volume = 5*6 *5= 150 cubic units

D. 8, 3 and 4

Volume = 8*3*4= 96 cubic units

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.