> 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:

$$
Area=lw
$$

![](/files/-LjxbN_Un-wDdmW9jGLv)

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:

$$
Area=a^2
$$

![](/files/-LjxbuTzjID0iLrnQG-e)

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
```

$$
Area=πr^2
$$

$$
Circumference = 2πr
$$

![](/files/-LjxcNoBnM5D6Jf5dSiP)

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.

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

![](/files/-LjxfWeirl0GoqKT6bYO)

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.

$$
Area=bh
$$

![](/files/-Ljxftuaypg4VSMF7bAU)

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:

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

![](/files/-LjxgKMQW08QbDLi5sL_)

Print the value of Area.

## Problem 7

print("Problem 7 - Kite Area")

Assign 8 to p and 9 to q.

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

![](/files/-LpyOwAn-5hysxyuFrsq)

## 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:

$$
Volume=lwh
$$

![](/files/-LjxgfLFjqLqu2gBwt9w)

Print the value of Volume.

## Problem 9

print("Problem 9 - Cube Volume")

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

$$
Volume = a^3
$$

![](/files/-Ljxgugi0v-dVkQzqifw)

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:

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

![](/files/-Ljxh3oHjyXFNt50lQz6)

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.

$$
Volume=πr^2h
$$

![](/files/-LjxhOAdeOFkpIsVPDLk)

Print the value of Volume.

## Problem 12

print("Problem 12 - Sphere Volume")

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

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

![](/files/-LjxhcEF6K0FilKcnFPK)

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.

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

![](/files/-LjxhpC45-k49DZUK4hj)

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:

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

![](/files/-Ljxi1edung1i2KtA2wL)

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.

$$
Area=6a^2
$$

![](/files/-LjxiEd9gFONR5QnnLd6)

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.

$$
SA=4πr^2
$$

![](/files/-LjxiT6R48mexufdeUSC)

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:

$$
SA=2πrh+2πr^2
$$

![](/files/-LjxikH_8lQ4kVp8E10E)

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.

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

![](/files/-LjxjEyBVsP_09-5M6Pv)

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)
```

![](/files/-LpyQou6nKzSwQyyfnxV)

## Problem 20

print("Problem 20 - Tetrahedron Volume")

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

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

![](/files/-LpyRGFR8KJUIKBtf8_6)

Print the value of Volume.


---

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