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frutty [35]
3 years ago
7

A prism with a square base has a height of 15cm and a volume of 735cm3. Find the length of each edge of the base.

Mathematics
1 answer:
denis-greek [22]3 years ago
6 0

Answer:

The length of each edge of the base is 7cm.

Step-by-step explanation:

The volume of a prism with square base is given by:

V = l^{2}h

In which l is the length of each edge of the base and h is the height.

A prism with a square base has a height of 15cm and a volume of 735cm3.

This means that V = 735, h = 15

So

V = l^{2}h

735 = 15l^{2}

l^{2} = \frac{735}{15}

l^{2} = 49

l = \pm \sqrt{49}

Length is a positive measure. So

l = 7

Volume in cm³, so the length of each edge is in cm.

The length of each edge of the base is 7cm.

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nydimaria [60]
The volume of the box when it's filled to 3 inches deep is 12×8×3 = 288 in³

The box is filled up to 1.5 inches from the top, that means the box is filled only
3-1.5 = 1.5 inches deep

The volume of the box when it's filled to 1.5 inches deep is 12×8×1.5 = 144 in³

The number of flours saved is 288 - 144 = 144 in³
3 0
3 years ago
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1/5x + 4 =1/3x-8 <br> Can you show your work too? That would be great
Vikentia [17]

Answer:

90

Step-by-step explanation:

1/5x+4=1/3x-8

add 8 to both sides and subtract 1/5x from both sides

4+8=1/3x-1/5x

12=5/15x-3/15x

12=2/15x

divide both sides by 2/15

12÷2/15=x

when dividing by a fraction, invert and multiply

12*15/2=x

90=x

CHECK:

1/5(90)+4=1/3(90)-8

18+4=30-8

22=22

5 0
3 years ago
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mylen [45]
There isnt enough information to solve the question, answer is E.
5 0
3 years ago
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marin [14]

Answer:

B

Step-by-step explanation:

6 0
4 years ago
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PLS HELP ASAP!!! <br><br> THANK YOU.
ipn [44]

9514 1404 393

Answer:

  • rectangular prism: 288 ft³
  • triangular prism: 72 ft³
  • total: 360 ft³

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = LWH . . . . . the product of length, width, height

This rectangular prism has a volume of ...

  V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume

__

The volume of a triangular prism is found from the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...

  A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.

Here, we have ...

  B = 1/2(6 ft)(4 ft) = 12 ft²

  V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume

__

The total volume of the given geometry is the sum of the volumes of the parts:

  aquarium volume = 288 ft³ +72 ft³ = 360 ft³

3 0
3 years ago
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