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agasfer [191]
4 years ago
15

Alex has 64 cubes with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rec

tangular prism. There are no gaps between the cubes. Part B: If there are 64 of these cubes in the larger prism, then what is the volume, in cubic feet, of the larger rectangular prism?
Mathematics
1 answer:
Vilka [71]4 years ago
7 0

Answer:

The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Step-by-step explanation:

Length of small cube =\frac{1}{2} ft

Volume of each cube = Side^3

Volume of each cube =(\frac{1}{2})^3

                                    =\frac{1}{8} ft^3

Volume of 64 cubes = 64 \times \frac{1}{8}

Volume of 64 cubes = 8 ft^3

We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.

So, Volume of 64 cubes = Volume of rectangular prism

So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

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Help pls 40 points with review 3
Marianna [84]

Answer:

Rectangle A is not a scale drawing.

Rectangle B is a scale drawing.

Step-by-step explanation:

A scale drawing involves ratios.

Rectangle A:

10cm is double the original 5cm giving us a 1 : 2 ratio.

However, 25cm is <em>not</em> double the original 20cm. This means that this rectangle is not to scale of the given rectangle.

Rectangle B:

10cm is double the original 5cm giving us a 1 : 2 ratio once again.

This time however, 40cm is double the original 20cm. This means that this rectangle is a scale drawing of the given rectangle.

~Hope this Helps!~

6 0
3 years ago
Pls answer show your work
____ [38]

Answer:

32

Step-by-step explanation:

\text{Simplify}\\3 \times 3 \times \frac{12}{3} -4\\3 \times \frac{3 \times 12}{3} -4\\\frac{3 \times 12 \times 3}{3} -4\\12 \times 3 -4\\36-4\\= 32\\

8 0
3 years ago
Your job is to paint lines in a long, straight parking lot. You determine the dividing lines need to be parallel. The length of
kozerog [31]

Answer:

a. 9 ft

b. 90 ° right angled

c. Right angle

d. 90°

e, Right angle

f. Angles on a straight line

g. 18 spots

Step-by-step explanation:

Here we have maximization question;

a. The separation distance of the dividing lines in a parking lot need to be far apart enough as to accommodate a vehicle with room to open the doors, therefore, it should be between 8.5 to 10 ft wide which gives a mean parking space width of approximately 9 ft

b. The angle of lines of the parking lot to the curb that will accommodate the most cars is 90°, because it reduces the width occupied by a car

c. The angle is right angled

d. Since the adjacent angle + calculated angle = angles on a straight line = 180 °

Therefore, adjacent angle = 90°

e. The angle is right angled

f. Angles on a straight line

g. The number of spots will be 162/9 = 18 spots.

8 0
4 years ago
Suppose that cot θ = c and 0 &lt; θ &lt; π 2 . what is a formula for cos θ in terms of c?
loris [4]

Answer:

<h3>cosθ = c/√1+c²</h3>

Step-by-step explanation:

Given cot θ = c and 0 < θ < π/2

In trigonometry identity:

cotθ  = 1/tanθ = c

1/tanθ = c

cross multiply

tanθ  = 1/c

According to SOH, CAH, TOA:

Tanθ = opposite/adjacent = 1/c

cosθ = adjacent/hypotenuse

To get the hypotenuse, we will use the pythagoras theorem:

hyp² = opp²+adj²

hyp² = 1²+c²

hyp = √1+c²

Find cosθ in terms of c

cosθ = c/√1+c²

Hence the formula for cos θ in terms of c is cosθ = c/√1+c²

5 0
3 years ago
X-( 26 + 4) = 65<br> x = ?
Pachacha [2.7K]
X-(26 + 4) =65 the answer is x=95
6 0
3 years ago
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