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3 years ago

A rectangular prism has a length of 10m, a height of 9m, and a width of 15m. What is its volume, in cubic m?

Mathematics

2 answers:

In-s [12.5K]3 years ago

4 0

Answer:

1350 cubic meters

Step-by-step explanation:

10 x 9 = 90 meters

90 x 15 = 1350 cubic meters

hope this helps

skad [1K]3 years ago

4 0

Answer:

1350m³

Step-by-step explanation:

Volume of a rectangular prism is 'length * width * height'.

The rectangular prism "has a length of 10m, a height of 9m, and a width of 15m".

10 * 15 * 9 = 1350

The volume of the prism should be 1350m³.

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5x−4y=34<br> −x+8y=22<br> elimination

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Answer:

The solution to the system of equations is:

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Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}5x-4y=34\\ -x+8y=22\end{bmatrix}$

Multiply -x+8y=22 by 5: -5x+40y=110

$\begin{bmatrix}5x-4y=34\\ -5x+40y=110\end{bmatrix}$

so adding the equations

$-5x+40y=110$

$+$

$\underline{5x-4y=34}$

$36y=144$

solve 36y = 144 for y:

$36y=144$

divide both sides by 36

$\frac{36y}{36}=\frac{144}{36}$

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$y=4$

For 5x-4y=34 plug in y=4

$5x-4\cdot \:4=34$

$5x-16=34$

Add 16 to both sides

$5x-16+16=34+16$

Simplify

$5x=50$

Divide both sides by 5

$\frac{5x}{5}=\frac{50}{5}$

Simplify

$x=10$

Therefore, the solution to the system of equations is:

$x=10,\:y=4$

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Answer:

Step-by-step explanation:

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