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3 years ago

Find the volume of a rectangular prism that is 8 inches high, 12 inches long, and 5 inches wide.

Mathematics

2 answers:

saul85 [17]3 years ago

5 0

Answer:

V =480in^3

Step-by-step explanation:

V = l x w x h (of a rectangular prism)

V = 8 x 12 x 5

V =480in^3

very easy :D

~batmans wife dun dun dun....

icang [17]3 years ago

3 0

Answer:

B 480 in.³

Step-by-step explanation:

Volume of a rectangular prism is given by

V = l*w*h

V = 8*12*5

V =480 in ^3

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Which expression is equivalent to

taurus [48]

Answer:

Step-by-step explanation:

7 0

3 years ago

The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.03 inch. Use differentials to approximate

soldi70 [24.7K]

Answer:

a) $V = 33510.322\,in^{3}$ , b) $A_{s} = 5026.548\,in^{2}$ , c) $\% V = 0.450\,\%$ , $\%A_{s} = 0.300\,\%$ .

Step-by-step explanation:

The volume and the surface area of the sphere are, respectively:

$V = \frac{4}{3}\pi \cdot r^{3}$

$A_{s} = 4\pi \cdot r^{2}$

a) The volume of the sphere is:

$V = \frac{4}{3}\pi \cdot (20\,in)^{3}$

$V = 33510.322\,in^{3}$

b) The surface area of the sphere is:

$A_{s} = 4\pi \cdot (20\,in)^{2}$

$A_{s} = 5026.548\,in^{2}$

c) The total differentials for volume and surface area of the sphere are, respectively:

$\Delta V = 4\pi\cdot r^{2}\,\Delta r$

$\Delta V = 4\pi \cdot (20\,in)^{2}\cdot (0.03\,in)$

$\Delta V = 150.796\,in^{3}$

$\Delta A_{s} = 8\pi\cdot r \,\Delta r$

$\Delta A_{s} = 8\pi \cdot (20\,in)\cdot (0.03\,in)$

$\Delta A_{s} = 15.080\,in^{2}$

Relative errors are presented hereafter:

$\%V = \frac{\Delta V}{V}\times 100\%$

$\%V = \frac{150.796 \,in^{3}}{33510.322\,in^{3}}\times 100\,\%$

$\% V = 0.450\,\%$

$\% A_{s} = \frac{\Delta A_{s}}{A_{s}}\times 100\,\%$

$\% A_{s} = \frac{15.080\,in^{2}}{5026.548\,in^{2}}\times 100\,\%$

$\%A_{s} = 0.300\,\%$

4 0

3 years ago

the length of a rectangular picture frame is 3 centimeters less than twice the width. the perimeter is 78 centimeters. find the

Natalka [10]

Let the width be x
width = x
length = 2x - 3

Perimeter = x + 2x - 3 + x + 2x - 3 = 6x - 6

6x - 6 = 78
6x = 78 + 6
6x = 84
x = 14 cm

2x - 3 = 2(14) - 3 = 25cm

The width is 14cm and the length is 25cm

5 0

3 years ago

Find the side length of a square with the given area. 121in(2 Exponent)

melomori [17]

The answer is D......

8 0

3 years ago

How do I solve 3= log8+3log x?

taurus [48]

3 = log(8) + log(x³) 

When adding logs, you are multiplying the terms altogether. 

3 = log(8x³) 

Then, by log_a b = n ==> aⁿ = b: 

10³ = 8x³ [Since the base is not given, I assume that the base is 10] 
1000 = 8x³ 

Finally, solve for x. 

1000/8 = x³ 
x³ = 125 
x = (125)^(1/3) . . .Set both sides to the power of 1/3. 
x = 5 

Hence, x = 5.

3 0

3 years ago