> For the complete documentation index, see [llms.txt](https://www.pythonclassroom.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://www.pythonclassroom.com/math/math-problems.md).

# Math Problems

## Problem 1

print("Problem 1 - Rectangle Area")

Assign 5 to the variable l and 7 to variable w. Assign the variable Area according to the formula:

$$
Area=lw
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxbN_Un-wDdmW9jGLv%2FScreen%20Shot%202019-07-16%20at%209.47.58%20PM.png?alt=media\&token=5b7d95e9-c635-4ca9-be06-588c25e77047)

Print the value of Area.

## Problem 2

print("Problem 2 - Square Area")

Assign 11 to the variable a. Assign the variable Area according to the formula:

$$
Area=a^2
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxbuTzjID0iLrnQG-e%2FScreen%20Shot%202019-07-16%20at%209.50.16%20PM.png?alt=media\&token=d0015a53-6868-4622-8112-a21e42e14da0)

Print the value of Area.

## Problem 3

print("Problem 3 - Circle")

Assign 5 to the variable r. Assign the variable Area and Circumference according to the formula. Print the value of Area and Circumference.  

{% hint style="info" %}
To access the value of pi, import the Python math library
{% endhint %}

```python
import math # put this on line 1
print(math.pi) # this is the value of pi
```

$$
Area=πr^2
$$

$$
Circumference = 2πr
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxcNoBnM5D6Jf5dSiP%2FScreen%20Shot%202019-07-16%20at%209.51.01%20PM.png?alt=media\&token=70078db6-421d-44e0-a469-a2ea80744423)

Print the value of Area and Circumference.

## Problem 4

print("Problem 4 - Triangle Area")

Assign 11 to the variable b and 5 to the variable h. Assign the variable Area according to the formula.

$$
Area=\frac{1}{2} bh
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxfWeirl0GoqKT6bYO%2FScreen%20Shot%202019-07-16%20at%2010.05.56%20PM.png?alt=media\&token=cc329279-a0e0-4abb-9d9e-f732ed58da9d)

Print the value of Area.

## Problem 5

print("Problem 5 - Parallelogram Area")

Assign 5 to the variable b and 13 to the variable h. Assign the variable Area according to the formula.

$$
Area=bh
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-Ljxftuaypg4VSMF7bAU%2FScreen%20Shot%202019-07-16%20at%2010.07.15%20PM.png?alt=media\&token=16c48b80-58b4-4994-8b9a-b953a67f628f)

Print the value of Area.

## Problem 6

print("Problem 6 - Trapezoid Area")

Assign 10 to h, 7 to a and 9 to b. Assign the variable Area according to the formula:

$$
Area=h\frac{a+b}{2}
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxgKMQW08QbDLi5sL_%2FScreen%20Shot%202019-07-16%20at%2010.09.37%20PM.png?alt=media\&token=80b4ae64-6137-4669-af0e-6df79c790b3c)

Print the value of Area.

## Problem 7

print("Problem 7 - Kite Area")

Assign 8 to p and 9 to q.

$$
A=\frac{pq}{2}
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-LpyODfvd8oAVziQ8jLj%2F-LpyOwAn-5hysxyuFrsq%2FScreen%20Shot%202019-09-29%20at%203.02.46%20PM.png?alt=media\&token=5cbcfbe9-c16d-4128-90f0-32a1f6c82ad9)

## Problem 8

print("Problem 8 - Rectangular Prism Volume")

Assign 7 to l, 4 to w and 5 to h. Assign the variable Volume according to the formula:

$$
Volume=lwh
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxgfLFjqLqu2gBwt9w%2FScreen%20Shot%202019-07-16%20at%2010.11.05%20PM.png?alt=media\&token=27fe1163-c859-4fb8-9cdc-af2a4f49a233)

Print the value of Volume.

## Problem 9

print("Problem 9 - Cube Volume")

Assign 13 to a. Assign the variable Volume according to the formula:

$$
Volume = a^3
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-Ljxgugi0v-dVkQzqifw%2FScreen%20Shot%202019-07-16%20at%2010.12.11%20PM.png?alt=media\&token=5f95c547-fec0-40cb-b195-c7bb40937ae3)

Print the value of Volume.

## Problem 10

print("Problem 10 - Pyramid Volume")

Assign 6 to l, 9 to w and 8 to h. Assign the variable Volume according to the formula:

$$
V=\frac{lwh}{3}
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-Ljxh3oHjyXFNt50lQz6%2FScreen%20Shot%202019-07-16%20at%2010.12.43%20PM.png?alt=media\&token=df7d071e-2688-496b-9947-28a6f776752d)

Print the value of Volume.

## Problem 11

print("Problem 11 - Cylinder Volume")

Assign 13 to r, 4 to h. Assign the variable Volume according to the formula.

$$
Volume=πr^2h
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxhOAdeOFkpIsVPDLk%2FScreen%20Shot%202019-07-16%20at%2010.14.12%20PM.png?alt=media\&token=49901914-a61a-41d5-bb45-18d9ee323075)

Print the value of Volume.

## Problem 12

print("Problem 12 - Sphere Volume")

Assign 9 to r. Assign the variable Volume according to the formula.

$$
Volume=\frac{4}{3}\pi r^3
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxhcEF6K0FilKcnFPK%2FScreen%20Shot%202019-07-16%20at%2010.15.12%20PM.png?alt=media\&token=626a298b-e08d-4320-bddc-70cae48ab8f2)

Print the value of Volume.

## Problem 13

print("Problem 13 - Cone Volume")

Assign 5 to r and 12 to h. Assign the variable Volume according to the formula.

$$
Volume=\pi r^2\frac{h}{3}
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxhpC45-k49DZUK4hj%2FScreen%20Shot%202019-07-16%20at%2010.16.01%20PM.png?alt=media\&token=6eb727dc-93cf-4919-abc5-32f19264a183)

Print the value of Volume.

## Problem 14

print("Problem 14 - Rectangular Solid Surface Area")

Assign 11 to l, 12 to w and 13 to h. Assign the variable SA according to the formula:

$$
SA=2(wl+hl+hw)
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-Ljxi1edung1i2KtA2wL%2FScreen%20Shot%202019-07-16%20at%2010.17.04%20PM.png?alt=media\&token=273e7417-7e43-4733-812d-3d1cf309792a)

Print the value of SA.

## Problem 15

print("Problem 15 - Cube Surface Area")

Assign 14 to a. Assign the variable Area according to the formula.

$$
Area=6a^2
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxiEd9gFONR5QnnLd6%2FScreen%20Shot%202019-07-16%20at%2010.17.54%20PM.png?alt=media\&token=3b35d345-0271-47d1-bc73-4f1892ecfee6)

Print the value of SA.

## Problem 16

print("Problem 16 - Sphere Surface Area")

Assign 15 to r. Assign the variable SA according to the formula.

$$
SA=4πr^2
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxiT6R48mexufdeUSC%2FScreen%20Shot%202019-07-16%20at%2010.18.54%20PM.png?alt=media\&token=c5731dc7-9d4e-47e1-a2b3-3697243809aa)

Print the value of SA.

## Problem 17

print("Problem 17 - Right Cylinder Surface Area")

Assign 9 to r. Assign 6 to h. Assign the variable SA according to the formula:

$$
SA=2πrh+2πr^2
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxikH_8lQ4kVp8E10E%2FScreen%20Shot%202019-07-16%20at%2010.20.03%20PM.png?alt=media\&token=5a7367ab-7f17-404b-9737-0c5ecb86145b)

Print the Area.

## Problem 18

print("Problem 18 - Triangular Prism Surface Area")

Assign 5 to b. Assign 3 to h. Assign 9 to l. Assign 5 to s. Assign the variable SA according to the formula.

$$
SA=bh+2ls+lb
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-Ljxb3SLFVhtF9Mq0vU2%2F-LjxjEyBVsP_09-5M6Pv%2FScreen%20Shot%202019-07-16%20at%2010.22.21%20PM.png?alt=media\&token=93548130-f177-43eb-aa17-87ed31f7a42c)

Print the value of SA.

## Problem 19

print("Problem 19 - Tetrahedron Surface Area")

Assign 9 to a.  Assign the variable SA according to the formula.

$$
SA=\sqrt3 a^2
$$

Print the value of SA.

{% hint style="info" %}
To take the square root of a number, use the math library.
{% endhint %}

```python
import math
math.sqrt(3)
```

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-LpyODfvd8oAVziQ8jLj%2F-LpyQou6nKzSwQyyfnxV%2FScreen%20Shot%202019-09-29%20at%203.10.52%20PM.png?alt=media\&token=1f5aad22-dcf4-4369-baf2-a30a68b66c20)

## Problem 20

print("Problem 20 - Tetrahedron Volume")

Assign 13 to a.  Assign the variable Volume according to the formula.

$$
Volume=\frac{a^3}{6\sqrt2}
$$

![](https://729613953-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LVVKHMnpflHwghmbdgi%2F-LpyR8YUO1eBVrAjeyy6%2F-LpyRGFR8KJUIKBtf8_6%2FScreen%20Shot%202019-09-29%20at%203.10.52%20PM.png?alt=media\&token=1ebbc60c-b7cd-48a4-b391-006c3c5ea9b6)

Print the value of Volume.


---

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