A ringtoss toy is composed of a rectangular prism on top of a cylinder.
The rectangular prism is completely filled with water.
The dimensions of the rectangular prism are shown in the diagram.
What is the volume of the rectangular prism in cubic centimeters?
A) 26 cm3
B) 270 cm3
C) 165 cm3
D) 348 cm3

The volume of the given rectangular prism is B. 270 cm³.

Step-by-step explanation:

Step 1:

The volume of a rectangular prism is the product of its length, its width, and its height.

The volume of a rectangular prism =

The length of the prism is 9 cm, the width is 2 cm and the height of the rectangular prism is 15 cm.

Step 2:

The volume of a rectangular prism =

So the volume of the given rectangular prism is 270 cm³. This is option B.

c

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places