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3 years ago

Look at picture plz help I’m dumb

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

6 0

Answer: The correct answer is D

Step-by-step explanation: you have to factor the polynomial

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small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism shown.( the base is 4 1/2, the width i

ss7ja [257]

General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

$Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of \; Right \; Rectangular \; Prism=L \times W \times H\\\{Where \; L \; is \; Length, \; W \; is \; Width, \;and \; H \; is \; Height\}$

Applying the concept:

Volume of Small Cube:

$V_{cube}= (\frac{1}{4} )^3= \frac{1}{64} \; in^3\\\\V_{Prism}= 3 \frac{3}{4} \times 5 \times 4 \frac{1}{2} = \frac{15}{4} \times \frac{5}{1} \times \frac{9}{2} = \frac{675}{8} \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}} = \frac{675}{8} \div \frac{1}{64} \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1} = 5400$

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>

4 0

2 years ago

Read 2 more answers

A builder is installing a fence on all four sides of a backyard. The yard is 40 feet long and 50 feet wide. How much fencing wil

Brums [2.3K]

50•2=100
Then 40•2=80
Than add 100+80=
180! Please Thank me!

5 0

3 years ago

Read 2 more answers

What is the fifth term of the sequence defined by f(n)=3(n-3)

egoroff_w [7]

$f(5)=3(5-3)=3\cdot2=6$

6 0

3 years ago

Math math math math help

kap26 [50]

Answer:

The answer is B.

Step-by-step explanation:

You simply just simplify the expression. When you do this you get x to the third, 2x squared, and 4x. I hope this helps!!

7 0

3 years ago

Read 2 more answers

Kate jogged a total distance of 8 1/2 miles during the months of January and February if katie only jogged 1/4 mile everyday whi

swat32

Since in this equation we are dividing 17/2 by 1/4, we can think of this as multiplying 17/2 with 4/1 (or 4).

17 4
---- X ----- = 34
2 1

Our final answer is 34 days.

3 0

2 years ago