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3 years ago

What is the volume of the composite figure?

Mathematics

2 answers:

joja [24]3 years ago

7 0

Answer: 372in³

Step-by-step explanation:

All we have to do is find the volume of the two separate rectangular prisms and add them up.

First we will find the volume of the standing prism:

5in * 3in * 12in = 180in³

Now the other prism:

12in * 4in * 4in = 192in³

Now add them up:

180in³ + 192in³ = 372in³

irinina [24]3 years ago

5 0

Answer:

372 $inches^{3}$

Step-by-step explanation:

Imagine the figures are each separate. The top figure's dimensions would be L=12 in, W=4 in, and H=4 in. The bottom figure's dimensions would be L=5 in, W=3 in, and H=12 in. So, do the volume formula for each: L x W x H and then add them together.

12 x 4 x 4 = 192 inches^3

5 x 3 x 12 = 180 inches^3

192 + 180 = 372 inches^3

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3 years ago

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3 years ago

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4 years ago

A property contained ten acres. How many lots of not less than 50 feet by 100 feet can be subdivided from the property if 26,000

NemiM [27]

Answer:

81 lots of 5,000 square feet fits in the property.

Step-by-step explanation:

The first step is calculate the square feet of the minimum area:

$50 \: feets \times 100 \: feet = 5,000 \:square \: feet$

Second, from the ten acres we subtract the 26,000 feets of roads:

$1 \: acre = 60 \: feet \times 660\:feet = 43,560\:square\:feet\\43,560 \times 10 = 435,600\\435,600 - 26,000 = 409,600 \:square \: feet\:available$

Third, we divide the lot area over the available square feet

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7 0

4 years ago

A and B are centres of two circles of radii 8 cm and 1 cm such that AB =13 cm and angle ACB =90 degree where C is the centre of

Artyom0805 [142]

Answer:

50.28 sq. cm.

Step-by-step explanation:

A and B are centers of two circles of radii 8 cm and 1 cm such that AB =13 cm.

Now, angle ACB =90 degree where C is the center of another circle which touches the above two circles.

Now, ABC forms a right triangle where AB = 13 cm, AC = (r + 8) cm and BC = (1 + r) cm.

{Where r is the radius of the circle C.

Applying Pythagoras Theorem. AB² = AC² + BC²

⇒ 13² = (r + 8)² + (r + 1)²

⇒ 169 = r² + 16r + 64 + f² + 2r + 1

⇒ 2r² + 18r - 104 = 0

⇒ r² + 9r - 52 = 0

⇒ (r + 13)(r - 4) = 0

Hence, r = 4 {As the value of r can not be negative}

Therefore, the area of the circle C is π(4)² = 50.28 sq. cm. (Answer)

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3 years ago