Answer:
40
Step-by-step explanation:
The first step is to calculate the base area of the prism
= 15×30
= 450
The volume is then calculated as follows
= 450×h
= 450h
The capacity is 18 liters
= 18×1000
= 18,000
Therefore the height of the rectangular prism can be calculated as follows
450h= 18,000
h= 18,000/450
= 40
Hence the height is 40 cm
Answer:
10
Step-by-step explanation:
Answer:
63.24 euros were deposited in the bank.
Step-by-step explanation:
Claire's bank account was overdrawn.
Last month, Initial balance in the bank account = -45.32 euros
After a month, the balance became positive i.e. 17.92 euros.
To find:
What changes were made in the account?
Solution:
The balance came to a positive value from the negative value, it means that some money was deposited in the bank account.
Let the money deposited in the bank account =
euros
As per question statement:
![-45.32 + x = 17.92\\\Rightarrow x = 63.24\ euros](https://tex.z-dn.net/?f=-45.32%20%2B%20x%20%3D%2017.92%5C%5C%5CRightarrow%20x%20%3D%2063.24%5C%20euros)
Answer:
The beach ball can hold 523.33 cubic inches of air
Step-by-step explanation:
Diameter of beach ball = 10 inches
Radius of beach ball =![\frac{10}{2}= 5 inches](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B2%7D%3D%205%20inches)
We are supposed to find How many cubic inches of air can the beach ball hold
Volume of sphere = ![\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
Where r is the radius
So, volume of sphere = ![\frac{4}{3} \times 3.14 \times 5^3=523.333 in^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%203.14%20%5Ctimes%205%5E3%3D523.333%20in%5E3)
Hence The beach ball can hold 523.33 cubic inches of air
Answer:
Here's one way to do it
Step-by-step explanation:
Divide the hexagon into triangles, for example, as in the diagram below.
The triangles are all inside the hexagon, so the sum of their interior angles is the sum of those of the hexagon.
The sum of the interior angles of a triangle is 180°.
There are four triangles, so
Sum of interior angles = 4 × 180° = 720°