Answer:
The height of the prism is [tex]1\frac{1}{6}[/tex] 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 [tex]3\frac{25}{36}[/tex] units³
- The area of its base is [tex]3\frac{1}{6}[/tex] units²
- Substitute the values of the volume and area of the base in the rule
∴ [tex]3\frac{25}{36}=3\frac{1}{6}*h[/tex]
- Divide the two sides by [tex]3\frac{1}{6}[/tex]
∴ [tex]h=\frac{7}{6}=1\frac{1}{6}[/tex] units
* The height of the prism is [tex]1\frac{1}{6}[/tex] units
- The volume of each cubic block is [tex]\frac{1}{36}[/tex] units³
- The number of blocks = volume of the prism ÷ volume of the block
∵ The volume of the prism is [tex]3\frac{25}{36}[/tex] units³
∵ The volume of each block is [tex]\frac{1}{36}[/tex] units³
∴ The number of blocks = [tex]3\frac{25}{36}[/tex] ÷ [tex]\frac{1}{36}=133[/tex]
∴ The number of blocks = 133
* The number of blocks needed is 133
Answer:
1st one is 1 1/6
2nd one is 133
I did the test on Plato and this was right :)
