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3 years ago

The total surface area of a cube is 37.50 square centimetre. Find its volume.

Mathematics

2 answers:

Stels [109]3 years ago

8 0

It is 15.62.
Work : Unit Conversion:
Using the formulas
A=6a2
V=a3
Solving forV
V=6A3/2
36=6·37.53/2
36≈15.625

tamaranim1 [39]3 years ago

4 0

Answer:

Step-by-step explanation:

surface area =6 x²=37.50

x²=37.50/6=6.25

x=√6.25=2.5

volume=x³=2.5³=15.625 cm³

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The region bounded by y=x^2+1, y=x, x=-1, x=2 with square cross sections perpendicular to the x-axis.

VLD [36.1K]

Answer:

The bounded area is 5 + 5/6 square units. (or 35/6 square units)

Step-by-step explanation:

Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)

Such that f(x) > g(x) in the given interval.

This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).

We want to find the area bounded by:

f(x) = y = x^2 + 1

g(x) = y = x

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To find this area, we need to f(x) - g(x) between x = -1 and x = 2

This is:

$\int\limits^2_{-1} {(f(x) - g(x))} \, dx$

$\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx$

We know that:

$\int\limits^{}_{} {x} \, dx = \frac{x^2}{2}$

$\int\limits^{}_{} {1} \, dx = x$

$\int\limits^{}_{} {x^2} \, dx = \frac{x^3}{3}$

Then our integral is:

$\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx = (\frac{2^3}{2} + 2 - \frac{2^2}{2}) - (\frac{(-1)^3}{3} + (-1) - \frac{(-1)^2}{2} )$

The right side is equal to:

$(4 + 2 - 2) - ( -1/3 - 1 - 1/2) = 4 + 1/3 + 1 + 1/2 = 5 + 2/6 + 3/6 = 5 + 5/6$

The bounded area is 5 + 5/6 square units.

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2 years ago

Leann has $3.38 in her wallet, and Shannon has $2.87 in her wallet. How much more does Leann have in her wallet than Shannon?

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3 years ago

The supplement of a 65° angle has a measure of

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Answer:

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Step-by-step explanation:

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2 years ago

1.Bror simplifies the expression x^2 +3x+2/ x+2 as follows:

yulyashka [42]

My answer to the problem is as follows:

Bror should factor out (x^2 + 3x + 2) using the quadratic formula and that will be (x + 2)(x + 1).

Then he will simply that [(x +2)(x + 1)]/(x + 2) becomes x + 1.
<span>
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I hope my answer has come to your help. God bless and have a nice day ahead!

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3 years ago

Panchito needs to make 80 ml of a 39% alcohol solution. He is going to make it by mixing a 50% alcohol solution with a 6% alcoho

devlian [24]

Answer:

60ml of the 50% alcohol solution and 20ml of the 6% alcohol solution

Step-by-step explanation:

We can build a system of equation for solve this problem

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4 0

2 years ago

The total surface area of a cube is 37.50 square centimetre. Find its volume.​

The total surface area of a cube is 37.50 square centimetre. Find its volume.