1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksi-84 [34.3K]
3 years ago
15

A right rectangular prism is packed with cubes of side length 1 over 2 inches. If the prism is packed with 5 cubes along the len

gth, 3 cubes along the width, and 6 cubes along with the height, what is the volume of the prism?
A.Fraction 3 and 3 over 4 cubic inches

B.7 cubic inches

C.Fraction 11 and 1 over 4 cubic inches

D.24 cubic inches
Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Answer:

<em>Answer: C.Fraction 11 and 1 over 4 cubic inches</em>

Step-by-step explanation:

The volume of a rectangular prism of length L, width W, and height H is given by:

V=LWH

The prism is packed with cubes of a side length of a=1/2 inch. The volume of each cube is:

V_c=a^3=\left(\frac{1}{2}\right)^3=\frac{1}{8}\ in^3

The prism is packed with L=5, W=3, and H=6, thus the volume (in cubes) is:

V=5*3*6=90\ cubes

Since each cube has a volume of \frac{1}{8} in^3:

V=90\cdot\frac{1}{8}=\frac{45}{4}

Expressing as a mixed fraction:

V=\frac{45}{4}=\frac{44+1}{4}=11\frac{1}{4}

Answer: C.Fraction 11 and 1 over 4 cubic inches

You might be interested in
NEED ANSWER FAST
Crank
A is ur answer brudda
5 0
3 years ago
If you had to put up a fence around a circular baseball field, you would need to know the _________?
laila [671]
You would need to know the diameter of the field, and from that, you need to get the circumference of the field by using the formula C = πd.

By getting the circumference, you can therefore determine the perimeter/length of the fence you will need to enclose it.
5 0
3 years ago
Read 2 more answers
Which step could be used to help isolate the variable in the following equation
makvit [3.9K]
The subtraction of 4 on both sides would isolate the term 1.1j, then the division of 1.1 on both sides would isolate j.
8 0
3 years ago
Read 2 more answers
Can someone please help me with this question and explain it to me?
Lesechka [4]

Answer:

150 square feet

Step-by-step explanation:

It is half of the yard, because it extends from the corners. To find the area of the triangle of grass, you have to find the product of the legs divided by two.

30*10=300

300/2=150

150 square feet of Mr. West's backyard is covered in grass

5 0
3 years ago
Marty and Ethan both wrote a function, but in different ways.
marishachu [46]

<em><u>Question:</u></em>

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

<em><u>Answer:</u></em>

Marty’s with a slope of 1/3 has the larger slope

<em><u>Solution:</u></em>

<em><u>Given that Marty equation is:</u></em>

y + 3 = \frac{1}{3}(x+9)

<em><u>The point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

Where, "m" is the slope of line

On comapring both equations,

m = \frac{1}{3}

<em><u>Ethan wrote a function:</u></em>

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

<em><u>The slope is given by formula:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

From above two points,

(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)

Therefore,

m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2

Thus we get,

\text{Slope of Ethan} < \text{Slope of Marty}

Therefore, Marty’s with a slope of 1/3  has the larger slope

4 0
3 years ago
Read 2 more answers
Other questions:
  • Oliver is working on a puzzle of the Eiffel Tower. The tower in the puzzle is 28.5 in. tall. The packaging lists the scale as 1:
    5·2 answers
  • What is the decision regarding the differences between the observed and expected frequencies if the critical value of the chi-sq
    13·1 answer
  • The temperature at 7 PM at WeatherStation Minnesota was -5°F the temperature begin changing of the rate of -2.5°F per hour what
    5·1 answer
  • X^- x - 6 and x^ -5x +6 what are thier common factors
    11·1 answer
  • What is 7,248,193,675 in nearest billion
    15·1 answer
  • -3<br> 4<br> × <br> -1<br> 2<br> hgfhtdfhhffff
    10·1 answer
  • Which symbol creates a true sentence when x equals 6? 7•6–3x _____ 5(11– x)
    8·1 answer
  • I purchased my very first chess set in June 1987. Since then, I have been steadily building my collection. In March 2009, I purc
    10·1 answer
  • What is the value of the digit in the ten thousands place?
    5·1 answer
  • 40% of the plants in Marcy's garden are root vegetables. If 20 plants are root vegetables, how many plants are in Marcy's garden
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!