The area of the base of a rectangular prism is 36 cm2. the height of the prism is 3 5/6 cm. what is the volume of the prism?

a) 39 5/6 cm3

b) 60 2/3 cm3

c) 72 1/4 cm3

d) 138 cm3

 The correct option is (C) 36 cm².

Step-by-step explanation:  We are given to find the volume of a rectangular prism with base area 36 cm² and height

We know that the volume of a rectangular prism with base area b sq. units and height h units is given by

Here,

base area, b = 36 cm²

and

height is

Therefore, the VOLUME of the given prism will be

Thus, the volume of the given rectangular prism is 36 cm².

Option (D) is CORRECT.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.