Question

The volume of a rectangular prism is 3 25/36 cubic units, and the base area of the prism is 3 1/6 square units. The height of the rectangular prism is a. 1 1/6units b. 1 1/2 units c. 3 1/6 units d. 3 1/3 units. The number of cubic blocks, each with a volume of 1/36 cubic units, needed to fill the rectangular prism is a. 7 b. 19 c. 133 d. 152. ?

Answer 1

Answer:it was c i did the assighnment

Step-by-step explanation:

Answer 2

Answer:

The height of the prism is $1\frac{1}{6}$ units ⇒ answer a

The number of blocks needed is 133 ⇒ answer c

Step-by-step explanation:

* Lets explain how to solve the problem

- The volume of a rectangular prism is

→ V = Area of the base × its height

- The volume of the rectangular prism is $3\frac{25}{36}$ units³

- The area of its base is $3\frac{1}{6}$ units²

- Substitute the values of the volume and area of the base in the rule

∴ $3\frac{25}{36}=3\frac{1}{6}*h$

- Divide the two sides by $3\frac{1}{6}$

∴ $h=\frac{7}{6}=1\frac{1}{6}$ units

* The height of the prism is $1\frac{1}{6}$ units

- The volume of each cubic block is $\frac{1}{36}$ units³

- The number of blocks = volume of the prism ÷ volume of the block

∵ The volume of the prism is $3\frac{25}{36}$ units³

∵ The volume of each block is $\frac{1}{36}$ units³

∴ The number of blocks = $3\frac{25}{36}$ ÷ $\frac{1}{36}=133$

∴ The number of blocks = 133

* The number of blocks needed is 133