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Crazy boy [7]
3 years ago
9

Suppose each cube in this right rectangular prism is a 1 2 -inch unit cube. What are the dimensions of the prism? What is the vo

lume of the prism?
96 points!!
Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
7 0

Answer:

The lengths of the sides of a small cube are = foot. Volume of cube = side x side x side. V = = cubic foot. Number of small cubes that can be packed in the prism = = 180 cubes. Hence, 180 cubes can be packed into rectangular prism. Part B: Unit cube volume is 1x1x1 =1 cubic foot. So, 180 cubes will have 180 cubic foot volume.

lubasha [3.4K]3 years ago
4 0

Answer:

<h2><u><em>The lengths of the sides of a small cube are = foot. Volume of cube = side x side x side. V = = cubic foot. Number of small cubes that can be packed in the prism = = = = 180 cubes. Hence, 180 cubes can be packed into rectangular prism. Part B: Unit cube volume is 1x1x1 =1 cubic foot. So, 180 cubes will have 180 cubic foot volume.</em></u></h2>

Step-by-step explanation:

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If m ║ n and m ∠5 = 65°, what is m ∠1?
spayn [35]

Answer:

65

Step-by-step explanation:

Since <5 and <1 are corresponding angles and m is parallel to n

<5 = <1

<5 =65

so <1 = 65

8 0
4 years ago
Please help me with this one!!
Tema [17]

Answer:

21 in^{2}

Step-by-step explanation:

The square in the middle has a length and width of 3, so multiply. <u>9</u>.

All of the triangles have a base of 3 and a height of 2. The area equation for triangles is

A=bh\frac{1}{2}

So base*height is 6. Divide that by 2 or multiply by 1/2.

You get 3. There are 4 triangles, so multiply <em>that</em> by 4. <u>12</u>.

Add 12 and 9 together, and you get:

21 in^{2}

I hope this helps!

6 0
3 years ago
fred's auto sales purchases 3 new vehicles for $11,219, $31,611, and $18,204. what was the total cost for all the vehicles?
Anarel [89]
Add them all together = $61034
8 0
3 years ago
If mike read 30 pages an hour how long will it take him to read 1225 pages
Gnesinka [82]

Answer: 2450 min or 40hr and 50 min

Step-by-step explanation:

We can use a proportion to set up this equation.

\frac{30 pages}{60 min} =\frac{1225 pages}{x min}

We cross muliply so get our equation.

30x=1225(60)\\

30x=73500

x=2450 min

It took Mike 2450 min to read 1225 pages. We can also use a proportion to write this in hours

\frac{60min}{1hr} =\frac{2450min}{x }

60x=2450

x=40 hr 50 min

5 0
3 years ago
Verify that (sinx-cosx)2 = 1 - 2 sin xcosx is an identity.
Mars2501 [29]

(sin x - cos x)^{2}  = 1 - 2 sin x cos x

Step-by-step explanation:

Step 1 : Taking L.H.S(Left Hand Side) we have,

(sin x - cos x)^{2}  = sin^{2} x + cos^{2} x - 2 sin x cos x                       ... equation (1)    

Step 2 : As we know, sin^{2} x + cos^{2} x = 1

Therefore,

by substituting value in equation (1), we have

1 - 2 sin x cos x

Step 3 : As, L.H.S = R.H.S

Hence Proved,

(sin x - cos x)^{2}  = 1 - 2 sin x cos x

5 0
3 years ago
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