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antoniya [11.8K]
3 years ago
15

Find the volume of the large solid without the smaller solid. The solid is a right solid and is not drawn to scale. Round answer

s to the tenths place.
A rectangular prism has length 12.4 meters, height 9 meters, and width 7.8 meters. A smaller rectangular prism inside the larger prism has length 3 meters, width 1.8 meters, and height 9 meters.
a.
870.5 cube meters
c.
48.6 cube meters
b.
821.9 cube meters
d.
919.0 cube meters
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer: 821.9 cube meters

Step-by-step explanation:

Hi, to answer this question we have to calculate both rectangular prisms volume:

Volume: Length x width x height

Replacing with the values given:

Large solid volume = 12.4 x 7.8 x9 =870.48 cubic meters

Small solid volume = 3 x 1.8 x 9 =48.6 cubic meters

Next, we have to subtract the smaller solid's volume to the large solid’s volume .

870.48-48.6 = 821.88 = 821.9 cubic meters

Feel free to ask for more if needed or if you did not understand something.

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the polynomial ky^3+3y^2-3 and 2y^3-5y+k when divided by (y-5) leave the same remainder in each case. Find the value of k.
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Answer:

k=\frac{153}{124}

Step-by-step explanation:

According to the Remainder Theorem; when P(y) is divided by y-a, the remainder is p(a).

The first polynomial is :

p(y)=ky^3+3y^2-3

When p(y) is divided by y-5, the remainder is

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When the second polynomial:

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