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2 years ago

A rectangular prism is made of 81 unit cubes. The prism is 9 unit cubes long.

Mathematics

1 answer:

dimaraw [331]2 years ago

4 0

Answer:

A width: 3 unit cubes

height 3 unit cubes

Step-by-step explanation:

Volume of rectangular prism = 81 unit cubes

$l$ = Length of rectangular prism = 9 unit cubes

$w$ = Width of rectangular prism

$h$ = Height of rectangular prism

Volume of a rectangular prism is given by

$V=lwh\\\Rightarrow 81=9wh\\\Rightarrow wh=\dfrac{81}{9}\\\Rightarrow wh=9$

The product of width and height must be 9 so from the options this is only possible when width and height both are 3 units.

So, the width is 3 unit cubes and the height is 3 unit cubes.

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murzikaleks [220]

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3 years ago

Find the slope of the line: the length of a bus route is 4 miles long on the sixth day and 4 miles long on the seventeenth day.

LiRa [457]

The slope is 0, since it is still 4 miles long for 11 days

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3 years ago

Find the value of y if the line through the two given points is to have the indicated slope.

Masteriza [31]

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2 years ago

2 angles are supplementary. The measure of one angle is one-third of the other. Find the measure of BOTH angles.

morpeh [17]

Answer:

45° and 135°

Step-by-step explanation:

let one angle be "x" and the other be "y"

Angles which are supplementary total to 180°. This can be represented with the equation:

x + y = 180

If angle "x" is a third of angle "y", the situation is represented with this equation:

(1/3)x = y

Since fractions are difficult to work with, multiply the whole equation by 3.

(1/3)x = y <= X 3

x = 3y

Use the equations x+y=180 and x=3y.

You can substitute x=3y into x+y=180.

x + y = 180

(3y) + y = 180 <=combine like terms

4y = 180 <=isolate y by dividing both sides by 4

y = 45

Substitute y=45 itno the equation x+y=180 to find x.

x + y = 180

x + 45 = 180 <=isolate x by subtracting 45 from both sides

x = 135

Therefore the angles are 45° and 135°.

5 0

2 years ago

Read 2 more answers

Six times a number x and was added to 90 and the result is -42. What is the number

ANTONII [103]

According to the question,

6x + 90 = -42

The value of x.

<h3>Solution:</h3>

6x = -42 + 90

or, x = 48/6

or, x = 8

<h2>Answer:</h2>

The value of x is 8.

6 0

2 years ago