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3 years ago

Find the surface area of a rectangular prism that is 16 inches long, 12 inches wide, and 5 inches high.

1 answer:

OverLord2011 [107]3 years ago

4 0

We have an equation for the surface area of a rectangular prism:
A= 2 (w*l+ l*h+ h*w)

Plug l= 16 in, w= 12 in, and h= 5 in into the above equation, we have:
A= 2 (12 in*16 in+ 16 in* 5 in+ 5 in* 12 in)= 664 in^(2).

The final answer is 664 in^(2).

Hope this is helpful~

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If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.

larisa86 [58]

Volume: h • pi r^2

Volume: (7.5) • pi (2)^2

Volume: 94.247796

Just round to your teacher’s liking

6 0

2 years ago

A plot of land is represented on a map whose scale is 1:10000.On the map perimeter of the plot is 24.8cm.Calculate,in km ,the ac

sveta [45]

Answer:

24.8 km

Step-by-step explanation

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3 years ago

Determine which lines, if any, are parallel? Explain.

AfilCa [17]

I don’t even know at this point lol

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2 years ago

The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp

Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

$d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}$

Using that formula, you may prove that $d(C,E) = d(D,F)$ , which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

$m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}$

You can use this formula to prove that

$m_{CE} = -\cfrac{1}{m_{DF}}$

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

$y-y_0 = m(x-x_0)$

where $(x_0,y_0)$ is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

$\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}$

And use again the formula for the distance between two points to prove that

$d(A,C) = d(A,D) = d(A,E) = d(A,F)$

4 0

3 years ago

The sum of two numbers is 17 and the sum of their square is 145. find the larger number.

lys-0071 [83]

The larger number is 9.

6 0

3 years ago