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3 years ago

The volume of rectangular prism that measures 7 meters long, 9 meters wide, and 6 meters high is 378m^3

Mathematics

2 answers:

Law Incorporation [45]3 years ago

7 0

Answer:

Step-by-step explanation:

True

7 X 9 X 6 = 378

stellarik [79]3 years ago

5 0

Answer:

First option: True.

Step-by-step explanation:

To know if the volume of this rectangular prism is 378 m³, you need to use the formula for calculate the volume of a rectangular prism:

$V=lwh$

Where "l" is the lenght, "w" is the width and "h" is the height.

You know that that this rectangular prism measures 7 meters long, 9 meters wide, and 6 meters high, then you can substitute these values into the formula.

Therefore, the volume of the rectangular prism is:

$V=(7m)(9m)(6m)\\V=378m^3$

Then the answer is: True.

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Talia has a square bedroom. Her family is moving and her bedroom in her new apartment will be 3 feet shorter in one direction an

djverab [1.8K]

Answer (x represents the first direction and the y represents the second direction):

(x - 3) × (y + 5)
New bedroom: 7 ft × 15 ft. Her new bedroom is 5 sq. ft larger than her old bedroom

I hope this helps!

3 0

3 years ago

Conti. 7-10 thanks a lot! unhelpful answers will be deleted.

Marysya12 [62]

Answers:

10. b. $\displaystyle 13$

9. b. $\displaystyle 20$

8. a. $\displaystyle 33$

7. a. $\displaystyle 25°$

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

$\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x$

Plug this back into the equation to get $\displaystyle 13$ on both sides.

9. All edges in a square obtain congruent right angles and edges, so set $\displaystyle 45$ equivalent to the given expression:

$\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}$

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

$\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}$

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

$\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}$