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3 years ago

If the length, width, and height of a cube all change by a factor of 7, what happens to the volume of the cube?

Mathematics

1 answer:

Mkey [24]3 years ago

4 0

9514 1404 393

Answer:

The volume is 343 times as large.

The length is 7 times as large.

Step-by-step explanation:

If the original cube has side length s, its volume is given by ...

V = s³

When the side length is changed by a factor of 7, the new volume is ...

V = (7s)³ = 7³×s³ = 343s³

The volume of the cube changes by a factor of 7³ = 343.

The problem statement tells you the length is 7 times as large.

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vovikov84 [41]

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3 years ago

. If three angle of a quadrilateral are in the ratio 2: 3: 5 and fourth angle is 130

alexgriva [62]

Answer:

Step-by-step explanation:

So let the angles be 2x,3x,5x

∠A + ∠B + ∠C + ∠C = 360

[Sum of all the angles of a quadrilateral ]

⇒2x+3x+5x+130=360

⇒10x = 360 -130

⇒x = 23

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3 years ago

Read 2 more answers

Jeremy built an office with a floor area of 55/14 square feet. The office is rectangular in shape. If the length of the room is

Alexxandr [17]

Answer:

110/289 feet

Step-by-step explanation:

Step one:

given data

Area of the floor= 55/14 square feet.

The length of the floor= 8 1/2 feet-----convert to simple fraction= 17/2 feet

Step two:

The expression for the area of the room is

Area= L*W

55/14= 17/2*W

55/14=17W/2

cross multiply

17W*14=55*2

289W=110

divide both sides by 289

W= 110/289 feet

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If the​ length, width, and height of a cube all change by a factor of 7​, what happens to the volume of the​ cube?

If the length, width, and height of a cube all change by a factor of 7, what happens to the volume of the cube?