Find the volume of a cuboid. Three different walls of the cuboid have areas: 88,...

$\huge \bold{answer}$

$\red{••••••••••••••••••••••••••••••••••••}$

Use Formula: V = a × b × c

The cuboid walls are rectangles or squares, so the formula for an area of each wall is P = a × b. To calculate the length of the sides solve the following system of equations:

$\begin{cases}a × b = 88 \\ a × c = 33 \\ b × c = 24 \end{cases}$

$\begin{cases}a = \frac{88}{b} \\ a × c = 33 \\ b × c = 24 \end{cases}$

$\begin{cases}\frac{88}{b} × c = 33 \\ b × c = 24 \end{cases}$

$\begin{cases}c = 33 × \frac{b}{88} \\ b × c = 24\end{cases}$

$\begin{cases}b × (33 × \frac{b}{88}) = 24 \\ \frac{33b²}{88} = 24 \end{cases}$

$\begin{cases}\frac{33b²}{88} = 24 \\ 33b² = 2112 \\ b = \sqrt{\frac{2112}{33} = 8 }\end{cases}$

$\\$

$c = 33 × \frac{b}{88} = 33 × \frac{8}{88} = 3$

$a = \frac{88}{b} = \frac{88}{8} = 11$

$V = a × b × c = \underline{11 × 8 × 3 = 264}$

___________________

Therefore,

The correct answer is 264.

$\red{••••••••••••••••••••••••••••••••••••}$

rxiiine Tysm <3

Blevins Welcome

LuzWantCottonCandy

Answer:

88 = 8.08763

33 = 3.33303

24 = 2.48378

Step-by-step explanation:

HOPE IT HELPS -^-

rxiiine tysm

Questions

Answers & Comments

$\red{••••••••••••••••••••••••••••••••••••}$

Use Formula: V = a × b × c

___________________

Therefore,

$\red{••••••••••••••••••••••••••••••••••••}$

88 = 8.08763

33 = 3.33303

24 = 2.48378

HOPE IT HELPS -^-

Add an Answer

a hostel with 300 students had enough food to last them for 30 days.however 200 ...

If the price of a book is first decreased by 25% and then increased by 20%, then...

____ _ - The body system that consists of the heart, blood vessels a...

s s s s s sbda380bf1fdf693fbb909233f1e3ca48 17122

pa answer po nang maayos please wag nyo sabihing malabo dahil kitang kita naman

It is that definite portion of the earth's surface which is the subject of sover...

Merry Christmas po sa inyo, pwede po pa answer po ako ditoFind each value.a) tan...

Recommend Questions

Helpful Links

Helpful Social

Questions

Answers & Comments

Use Formula: V = a × b × c

___________________

Therefore,

88 = 8.08763

33 = 3.33303

24 = 2.48378

HOPE IT HELPS -^-

Add an Answer

a hostel with 300 students had enough food to last them for 30 days.however 200 ...

If the price of a book is first decreased by 25% and then increased by 20%, then...

__________ _______ - The body system that consists of the heart, blood vessels a...

s s s s s sbda380bf1fdf693fbb909233f1e3ca48 17122

pa answer po nang maayos please wag nyo sabihing malabo dahil kitang kita naman

It is that definite portion of the earth's surface which is the subject of sover...

Merry Christmas po sa inyo, pwede po pa answer po ako ditoFind each value.a) tan...

Recommend Questions

Helpful Links

Helpful Social

____ _ - The body system that consists of the heart, blood vessels a...