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LUCKY_DIMON [66]
3 years ago
8

I NEED HELP PLSSS , what is the volume and surface area

Mathematics
1 answer:
GaryK [48]3 years ago
6 0

Given:

The dimensions of the given cuboid are 8 in, 6 in and 7 in.

To find:

The volume and the surface area of the given cuboid.

Solution:

The volume of cuboid is:

V=l\times b\times h

Where, l is length, b is breadth and h is height.

V=8\times 6\times 7

V=336

Therefore, the volume of the cuboid is 336 cubic inches.

The surface area of the cuboid is:

A=2(lb+bh+hl)

Where, l is length, b is breadth and h is height.

A=2(8\times 6+6\times 7+7\times 8)

A=2(48+42+56)

A=2(146)

A=292

Therefore, the surface area of the cuboid is 292 square inches.

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This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
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On Wednesday, the two workout plans have the total time of 6 hours. We equate
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While on Thursday, the total time is 12 hours. We also equate
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To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5

Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
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Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours

For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours

Hence, each workout plans are done within 3/4 hours (or 45 minutes).
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