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igomit [66]
3 years ago
12

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going thro

ugh the center of it. Find the volume of the solid in cubic millimeters.
A.60
B.300
C.540
D.780

Mathematics
1 answer:
vekshin13 years ago
5 0

So you need to find the volume for the rectangular prism (1) and the rectangular prism in the center of it (2)

The formula for a rectangular prism is:    

V = lwh         [Volume = length x width x height]      

1.

l = 15

w = 6

h = 6

V = lwh           Plug in the numbers

V = (15)(6)(6) = 540

2.

l = 15

w = 4

h = 4

V = lwh

V = (15)(4)(4) = 240

Next you subtract the volumes by each other because the rectangular prism in the center(2) is the hole/empty part of the rectangular prism(1)

V = V(1) - V(2)

V = 540 - 240

V = 300

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Am I right ? <br> [[ PLEASE HELP IF I"M NOT CORRECT. EXPLAIN, SHOW DETAILS, ETC. ]]
Elena-2011 [213]

Answer:

D 12.57

Step-by-step explanation:

diameter = 4inches hence radius = 2inches

if the crust covers the full pizza "around", technically its the circumfrence

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2×π×2= 12.566 ~ 12.57

5 0
3 years ago
Consider this figure of a hexagon.
notsponge [240]
A)
It looks like the [irregular] hexagon has 3 rectangles and 2 triangles within it.
So let's exclude the triangular corners on bottom left and top right for now.
First we have a large rectangle covering most of the upper left of the polygon. 20 ft × 7 ft = 140 sq.ft.
Now we have a rectangle on the bottom right. The width is 11 ft, so take the 7 away from that, 4 ft. × 14 ft. on bottom. 4 ft × 14 ft = 56 sq.ft.
The last small rectangle fits on the right between the 2 other rectangles. It is 24-20 on top/bottom × 7-6 right/left. 4 ft × 1 ft = 4 sq.ft.
Now for the triangles: bottom left is 11-7 × 24-14 = 4 ft × 10 ft. 1/2bh = 1/2×10×4 = 20 sq.ft.
Top right is 24-20 × 11-5 = 4 ft × 6 ft. 1/2bh = 1/2×4×6 = 12 sq.ft.

B)
Add them all together for the total area (A):
A = 140 + 56 + 4 + 20 + 12 = 140+60+32
= 232 sq.ft.

Hope that explains it well enough! ;)
6 0
3 years ago
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Please please answer this correctly
Aliun [14]

The answer is 10 as the diameter because it says to estimate pi as 3. Since we know the circumference is 30 we can reverse it to find the diameter, since Circumference is pi time diameter.

3 0
3 years ago
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