The length, width, and height of a rectangular prism are in the ratio 3:2:1, respectively. What is the length of the prism if it has a volume of 48 in.³?Thanks!!!!!!!!

Answers

Answer 1

Answer:

The length of the given prism is 6 in.

What is volume?

The amount of space within any 3D object is called its volume.

Given that, The length, width, and height of a rectangular prism are in the ratio 3:2:1, respectively and has a volume of 48 in³

We know that the volume of a rectangular prism is given by =

length x width x height.

Let length, width, and height of the prism be 3x, 2x and x

Therefore, 3x.2x.x = 48

6x³ = 48

x³ = 48/6

x³ = 8

x = ∛8

x = 2

Therefore, length = 2x3 = 6 in

width = 2x2 = 4 in

height = 2x1 = 2 in

Hence, the length is 6 in.

For more references on volumes, click;

brainly.com/question/13338592

#SPJ2

Answer 2

Answer: the three numbers have to multiply to 48 in a ratio of 3:2:1
which would be 6:4:2
so 6 inches

Related Questions

Giovanna,frances,and their dad each carried a 10-pound bag of soil into the backyard. after putting soil in the first flower bed, Giovanna's bag was 5/8 full, frances bag was 2/5 full, and their dads was 3/4 full . how many ounces of soil did they put in the first flower bed. solve create fraction word problems involving addition ,subtraction and multiplication please help
What times what equals 67
when you roll two number cubes, what are the odds, in simplest form, in favor of getting two number less than 4 ?
Which of the following describes the quotient of 2 and -22?A. The quotient is an irrational number.B. The quotient is undefinedC. The quotient is an integer.D.The quotient is a rational number.
What is a termites favorite breakfast 1 9m 6m find x

The original value of a Tv is $2300. As a new model of TVs become available, the value decreases by 2% each year. What will the value of the Tv be in 7 years? Show the steps you took to solve this problem, including the function you created.

Answers

2300*.02=46

46*7=322

2300+322=2622

2622

its 1978$ cause you minus 322 cause 14% of 2300 is 322 and it says decrease

A bag contains 90 marbles, some red and some blue. If there are 60 blue marbles, what is the ratio of blue to red marbles?

Answers

If there is a total of 90 marbles, and we know that there is 60 blue marbles. We can assume that the remaining 30 marbles are red therefore the ratio of red to red marbles would be 60÷30, which is 2. Or the ratio is 60:30 which is reduced to 2:1.

The distance was 372,060 meters. convert the distance to kilometers.

Answers

If you would like to convert the distance to kilometers, you can do this using the following steps:

1000 meters ... 1 kilometer
372060 meters ... x kilometers = ?

1000 * x = 1 * 372060
1000 * x = 372060 /1000
x = 372060 / 1000
x = 372.06 kilometers

The correct result would be 372.06 kilometers.

The distance in kilometers is 372.060 km.

Further Explanation

The distance is 372,060 meters

Convert this distance to kilometers (km)!

$\boxed { 1 km = 1000 m\ }\n\boxed { 1 m = (1)/(1000)\ km } \n\boxed {372,060 m = (372,060)/(1000)\ km}\n\boxed {= 372.06 km\ }$

So 372,060 meters = 372.06 km

When divide a number with 1000, we just shifting the decimal point to three steps to the left.

Or other way is :

$\boxed {1 m = (1)/(1000) km = 0.001 km\ }$

$\boxed {=372,060 m *\ 0.001 km\ }\n\boxed {=372.06 km\ }$

Learn More

Word math problem brainly.com/question/997374

Converting gallon to quarts brainly.com/question/898411

Converting unit of mass brainly.com/question/12482948

Keywords: conversion, unit of length, distance, metric system of measurement, meter to kilometer, unit conversion

Amy raises $ 58.75 to participate in a walk-a-thon. Jeremery raises $ 23.25 more then Amy. Oscar raises three times as much as Jeremey. How much money does Oscar raise?

Answers

Oscar raises $246.
Add Jeremy's amount to Amy's and then multiply by 3

Oscar raises $69.75 because $23.25 multiplied by 3 equals $69.75.

Hope that helped:)

Please help me!!!!!

Answers

Answer:

Step-by-step explanation:

a, c, d those are ur answers

The table shows the times it took four runners to finish a 400 meter race.Runner K-2 MINUTES 5SEC
Runner L-1 MINUTE 44SEC
Runner M-2MINUTES 15 SEC
Runner N-1 MIN 52 SEC

WHICH RUNNER HAD THE HIGHEST AVERAGE SPEED?

Answers

Runner L had the highest average speed

Other Questions

The capacity of a beaker is 0.1 liter converted to millimeter

Erik took a trip to see his friend Mike who lives 308 miles away. He left his place at 10 AM driving at 70 mph. In 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph. At what time will they meet?

How do you solve 3/4x=-24

Five hamburgers and one order of fries together cost $10.24, whereas one hamburger and five orders of fries together cost $5.84. What is the total cost ofthree hamburgers and three orders of fries? A) $13.20 B) $12.72 C) $8.04 D) $3.30 E) None of the precious choices are correct.