What is the volume of a rectangular prism that has a length of 8 square inches, a width of 6 3/4 square inches, and a height of 5 1/4 square inches?

Answers

Answer 1

Given:

Let us consider,

Length of a rectangular prism = 8 inches

Width = [tex]6\dfrac{3}{4}[/tex] inches

Height = [tex]5\dfrac{1}{4}[/tex] inches

To find:

The volume of the rectangular prism.

Solution:

The volume of a rectangular prism is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting the given values, we get

[tex]V=8\times 6\dfrac{3}{4}\times 5\dfrac{1}{4}[/tex]

[tex]V=8\times \dfrac{27}{4}\times \dfrac{21}{4}[/tex]

[tex]V=\dfrac{567}{2}[/tex]

[tex]V=283.5[/tex]

Therefore, the volume of the rectangular prism is 283.5 cubic inches.


Related Questions

what is the vertex of f(x)=x^2-9x+14

Answers


Its going to be a lot of steps

Step one

To complete the square, the same value needs to be added to both sides

f(x)+?=x^2 -9x+?+14

Step two

To complete the square add to the expression

x^2 -9 + 81/4= ( x- 9/2 ) ^2 add 81/4
To the expression


f(x)+?=x^2 -9+ 81/4 + 14

Step three

Since 81/4 was added to the right-hand side, also add 81/4 to the left-hand side

f(x)+81/4=x^2 -9x+81/4+14

Step four

Use a^2-2ab +b^2 = ( a-b)^2 to factor the expression

f(x)+81/4=(x-9/2)^2+14

Step five

Move the constant to the right-hand side and change its sign

f(x)=(x-9/2)^2 + 14- 81/4

Last step

Calculate the difference

F(x)=(x-9/2)^2 -25/4


That was to long
Karl:D

Can i get help please and thanks

Answers

Answer: 9.21954

it’s pythagorean theorem btw :)

A dresser has a width of 6 feet, a height of 3 feet, and a depth of 2 feet. If the dresser has 6 drawers of the same size, what is the volume of the space for each drawer?

Answers

Answer:

The volume of the space for each drawer is 6 feet^3.

Step-by-step explanation:

Solve for the volume of the entire dresser.

Formula for volume of a rectangle:

Volume (v) = Length (l) × width (w) × height (h)

v = 2 × 6 × 3

v = 12 × 3

v = 36

Now divide the volume by the number of drawers.

36 ÷ 6 = 6

A- {(-4, -3), (2, 2), (2, 1), (0, 3), (-2, 4}
B- {(-3, -4), (2, -2), (2, 1), (3, 0), (4, -2)}
C- {(-3, -4), (-2, 2), (2, 1), (3, 0), (4, -2)}
D- {(-3, 4), (-2, -2), (1, 2), (3, 0), (4, 2)}

Answers

Answer:

C

Step-by-step explanation:

The first point would be (-3,-4) which means A and D are eliminated.

The second point is (-2,2) which means you are left with C which is the correct answer

(This is for my Algebra ll project all you need to do is answer this question) How many siblings do you have?

Answers

Answer:

I have two Sisters

Step-by-step explanation:

I need so much help with these could you help me?

Answers

Answer:

Step-by-step explanation:

In ΔBCA and ΔDCA,

BC ≅ CD                 Given

∠BCA ≅∠DCA        Given

AC ≅ AC                    Reflexive property

ΔBCA ≅ ΔDCA          S A S congruent

∵ BA ≅ AD                CPCT {Corresponding part of congruent triangle}

An altitude is also called the __ of the triangle. One endpoint must be a _____ of the triangle. The altitude creates a ______ ______ with the opposite side of the triangle. FILL IN THE BLANKS

Answers

Answer:

do you have answer choices or is this just fill in the blanks ?

which of these numbers are the largest 4.12 or 4.21​

Answers

Answer: largest is 4.21.

Please help

Find the distance between (−9, −3) and (−6, −8). Round your answer to the nearest tenth. The distance is about ____ units.

Answers

The distance is about 5.8 units.

Can someone help me please

Answers

Answer:

c as it is on a straight line

Answer:

C. 2x + 58 = 180

Step-by-step explanation:

Not 100% sure but I hope this helps you!

Some to do. So do it.​

Answers

Answer:

1. A=42

L=14

42=W(14)

divide both sides by 14

3=W

2. A=96

L=12

96=W(12)

divide both sides by 12

8=W

3. A=90

L=18

90=W(18)

divide both sides by 18

5=W

4. A=1.50

L=15

1.50=W(15)

divide both sides by 15

0.1=W

Step-by-step explanation:

The graph of function f is shown. Function g is represented by the table. x -2 -1 0 1 2 g(x) -32 -16 -8 -4 -2 Which statement correctly compares the two functions on the interval [0, 2]? A. Function f is increasing, and function g is decreasing. B. Both functions are increasing, but function f is increasing faster. C. Both functions are increasing, but function g is increasing faster. D. Both functions are increasing at the same rate.

Answers

Answer:

Both functions are increasing, but function g is increasing faster

Step-by-step explanation:

Correct on a plato test. Have a great day!

Answer:

B. fashoooooooo

Step-by-step explanation:

Both functions are increasing, but function f is increasing faster.

Each of the figures are similar. Find the missing length.

Answers

Answer:

7

Step-by-step explanation: the rule is to divide by  in this case. 21 / 3 is 7

Answer:

? = 7 m

Step-by-step explanation:

6/18 = ?/21

18? = 126

? = 7

Patrick deposits $500 in a savings account, and he makes no deposits. How much money does Patrick have the savings account after 5 years?

Answers

He still has $500, unless there is some interest that wasn’t mentioned.

ASAP someone please simplify these two exponents

Answers

Answer:

3) [tex]qm^{-17}[/tex]

4) [tex]np^{-3}[/tex]

These should be your answer! Make sure to double check!

Step-by-step explanation:

Just simplify.

SOMEONE PLEASE HELP ME WILL GIVE BRAINLY

Answers

Answer:

Let me get my homie on here to help you.

Step-by-step explanation:

how to graph y=2x-4

Answers

Hope this helps!!!!!!

find the value of x
2x−3=5

Answers

Answer:

x=4

Step-by-step explanation:

5+3 =8

8/2 = 4

factor 4 in...

(2x4)-3=8

Answer:

X=4

Step-by-step explanation:

the circumference of a circle is about 48.042 yards. the circle's diameter is ___ yards.

use 3.14 for pi.​

Answers

Step-by-step explanation:

Given

Circumference of circle = 48.042 yards

diameter (d) = ?

we know

Circumference = πd

or, 48.042 = 3.14 * d

or, d = 48.042 / 3.14

Therefore d = 15.3 yards

The circle's diameter is 15.3 yards.

Hope it will help :)❤

48.042 divide by 3.14 = 15.3

diameter is 15.3 yards.

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

with what??!!

Step-by-step explanation:

Answer:

This is essay thank you

Step-by-step explanation:

Find the exact circumference of a circle with the given radius.

36 inches

C =

Answers

Circumference is 226.19

EXPLANATION:
Since 36 is the radius you multiply that by 2 to get diameter which is 72. Then you multiply 72 by pi to get 226.19.

i need help i literally don't understand this at all and the teacher doesn't explain the assignment at all.

Answers

Answer:

2) 67.8°

3) 46.8°

4) 56.0°

Step-by-step explanation:

Use the right triangle trig functions

sine, cosine, or tangent and take the inverses to find the angle

A scatter plot with a line is shown below. (Attachment)

Which statement is most likely correct about the line?

It can be the line of best fit because it is closest to most data points.
It can be the line of best fit because it passes through all the scatter points.
It cannot be the line of best fit because it does not pass through all the points.
It cannot be the line of best fit because it does not pass through the first and last points.

Please help! Other brainy answers DO NOT help. Will mark brainliest!

Answers

Answer:

It can be the line of best fit because it is closest to most of the data points.

95 out of 1200 randomly selected people surveyed in the u.s said they would rather watch baseball on television than go to a game According to this survey most people in the u.s would rather ______. A- watch baseball on television than go to a game B- play baseball than watch a game C- go to a baseball game than I watch it on television

Answers

Answer:

C.) go to a baseball game than watch it on television

Step-by-step explanation:

Only 7.9% of the 1200 people would rather watch a game on television than go to a game.

That means 92% of the group would rather go to a game, instead of watching it on television.

Your answer should be letter C, most people would rather go to a baseball game than watch it on television

solve linear system of equations graphically - y=3/5x+2
y=x-6

Answers

Answer:

(20, 14) If the first y is positive

(5/2, -7/2) If the first y is negative

Answer:

Point form: (20,14)

Equation form: x=20, y=14

Step-by-step explanation:

Please answer this for 15 points!!! Stuck on this forever

The model shows a rectangular prism made up of cubes with an edge length of 1/2meter.

Part A

Kate finds the volume of the prism by counting the unit cubes. She counts the number of cubes in the bottom layer. She says since there are 3 layers, there are 144 unit cubes, and the volume of the prism is 144 cubic meters. Is Kate correct?

Fill in the blanks to explain your answer.

The bottom layer has _______ unit cubes. The prism is made up of a total of _______unit cubes. The volume of a single unit cube is________cubic meter, so the volume of the prism is_______cubic meters. Kate________correct.

Answers

Answer:

no

Step-by-step explanation:

no

Find the product of these complex numbers.
(3-4i)(1 - i) =

Answers

Answer:

Step-by-step explanation:

-1-7i

Solve for b. Thank you

Answers

Answer:

c

Step-by-step explanation:

simplify both sides then isolate the variable

Answer:

C

Step-by-step explanation:

In order to find "b" (the y-intercept) from the equation y=mx+b ... If you know the slope (m), use any one of the given points by substituting the Y value of the given point for y, and substituting the X value of the given point for x. Solve for b = Y-mX.

what is the perimeter of the triangle. i do not know how to start this problem. any help will be greatly appreciated :))

Answers

Given:

Point F,G,H are midpoints of the sides of the triangle CDE.

[tex]FG=9,GH=7,CD=24[/tex]

To find:

The perimeter of the triangle CDE.

Solution:

According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.

FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get

[tex]\dfrac{1}{2}DE=FG[/tex]

[tex]DE=2(FG)[/tex]

[tex]DE=2(9)[/tex]

[tex]DE=18[/tex]

GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get

[tex]\dfrac{1}{2}CE=GH[/tex]

[tex]CE=2(GH)[/tex]

[tex]CE=2(7)[/tex]

[tex]CE=14[/tex]

Now, the perimeter of the triangle CDE is:

[tex]Perimeter=CD+DE+CE[/tex]

[tex]Perimeter=24+18+14[/tex]

[tex]Perimeter=56[/tex]

Therefore, the perimeter of the triangle CDE is 56 units.

A multiple-choice test has five questions, each with five choices for the answer. Only one of the choices is correct. You randomly guess the answer to each question. What is the probability that you do not answer any of the questions correctly?

Answers

Answer:

Ans: (1/5)^2 *(4/5)^3 = 0.0205

Step-by-step explanation:

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